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Finding the Fourth Proportional to 10,537.20, 15,807.52 and 3,963.92

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Solution

The fourth proportional to 10,537.20, 15,807.52 and 3,963.92 is: 5,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.20 : 15,807.52 = 3,963.92 : x
  2. Step 2: Convert to fraction form
    10,537.20/15,807.52 = 3,963.92/x
  3. Step 3: Cross multiply
    10,537.20x = 15,807.52 × 3,963.92
  4. Step 4: Simplify right side
    10,537.20x = 62,659,744.68
  5. Step 5: Solve for x
    x = 62,659,744.68/10,537.20
  6. Step 6: Final answer
    x = 5,946.53

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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.