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Finding the Fourth Proportional to 10,232.71, 15,324.45 and 6,935.80

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Solution

The fourth proportional to 10,232.71, 15,324.45 and 6,935.80 is: 10,387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.71 : 15,324.45 = 6,935.80 : x
  2. Step 2: Convert to fraction form
    10,232.71/15,324.45 = 6,935.80/x
  3. Step 3: Cross multiply
    10,232.71x = 15,324.45 × 6,935.80
  4. Step 4: Simplify right side
    10,232.71x = 106,287,320.31
  5. Step 5: Solve for x
    x = 106,287,320.31/10,232.71
  6. Step 6: Final answer
    x = 10,387.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.