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Finding the Fourth Proportional to 10,274.79, 15,436.80 and 6,584.25

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Solution

The fourth proportional to 10,274.79, 15,436.80 and 6,584.25 is: 9,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.79 : 15,436.80 = 6,584.25 : x
  2. Step 2: Convert to fraction form
    10,274.79/15,436.80 = 6,584.25/x
  3. Step 3: Cross multiply
    10,274.79x = 15,436.80 × 6,584.25
  4. Step 4: Simplify right side
    10,274.79x = 101,639,750.40
  5. Step 5: Solve for x
    x = 101,639,750.40/10,274.79
  6. Step 6: Final answer
    x = 9,892.15

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