In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 7474 and a standard deviation of 99. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D.
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