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Six years from today you need $$10,000.$ You plan to deposit $$1,500$ annually, with the first payment to be made a year from today, in an account that pays a $6\%$ effective annual rate. Your last deposit, which will occur at the end of Year $6,$ will be for less than $$1,500$ if less is needed to reach $$10,000.$ How large will your last payment be$?$ Do not round intermediate calculations. Round your answer to the nearest cent.

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