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* U.S. producer prices rise solidly in August

* Apple falls after 'Fortnite' case ruling

* Kroger falls as shipping woes hurt margins

Sept 10 (Reuters) - Wall Street ended sharply lower on Friday as investors weighed signs of higher inflation, while Apple Inc tumbled following an unfavorable court ruling related to its app store.

U.S. producer prices rose solidly in August, leading to the biggest annual gain in nearly 11 years and indicating that high inflation was likely to persist as the pandemic pressures supply chains, data showed.

Sentiment also took a hit from Cleveland Federal Reserve Bank President Loretta Mester's comments that she would still like the central bank to begin tapering asset purchases this year despite the weak August jobs report.

The S&P 500 has risen about 19% in 2021, buoyed by support from dovish central bank policies and re-opening optimism.

However, Wall Street has moved sideways in recent sessions as investor digest indications of increased inflation and concerns about the Delta variant's impact on the economic recovery. Investors are also uncertain about when the Federal Reserve may begin reducing massive measures enacted last year to shield the economy from the pandemic.

"The market is taking a breather," said Greg Bassuk, CEO of AXS Investments. "Investors are looking for some outsized news or information that is beyond the band of expectations, something much more outsized, positively or negatively, that will give investors better visibility into how things are going to look for the balance of the year."

Apple dropped 3.3% after a judge struck down a core part of its App Store rules, benefiting app makers. Its drop contributed more than any other stocks to the Nasdaq and S&P 500's declines.

Shares of app makers rallied, with Spotify Technology up 0.7%, and Activision Blizzard and Electronic Arts both gaining about 2%.

Losses in the three main indexes accelerated toward the end of the session.

The Dow Jones Industrial Average fell 0.78% to close at 34,607.72 points, while the S&P 500 lost 0.77% to 4,458.58.

The Nasdaq Composite dropped 0.87% to 15,115.49.

For the week, the S&P 500 lost 1.7%, the Dow declined 2.15% and the Nasdaq shed 1.61%.

Friday was the first time since February that the S&P 500 declined five days in a row.

All of the eleven S&P 500 sector indexes fell, with real estate and utilities each down more than 1% and leading the declines.

Affirm Exploded 34% on Robust Revenue Growth and Guidance, Analysts Impressive Amid Faster Than Expected Merchant and Customer Growth.

Grocer Kroger Co slumped nearly 8% after it said global supply chain disruptions, freight costs, discounts and wastage would hit its profit margins.

Volume on U.S. exchanges was 10.0 billion shares, compared with the 9.2 billion average for the full session over the last 20 trading days.

Declining issues outnumbered advancing ones on the NYSE by a 1.84-to-1 ratio; on Nasdaq, a 1.88-to-1 ratio favored decliners.

The S&P 500 posted 15 new 52-week highs and 3 new lows; the Nasdaq Composite recorded 55 new highs and 47 new lows.