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Finding the Fourth Proportional to 10,523.92, 15,785.52 and 2,732.80

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Solution

The fourth proportional to 10,523.92, 15,785.52 and 2,732.80 is: 4,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.92 : 15,785.52 = 2,732.80 : x
  2. Step 2: Convert to fraction form
    10,523.92/15,785.52 = 2,732.80/x
  3. Step 3: Cross multiply
    10,523.92x = 15,785.52 × 2,732.80
  4. Step 4: Simplify right side
    10,523.92x = 43,138,669.06
  5. Step 5: Solve for x
    x = 43,138,669.06/10,523.92
  6. Step 6: Final answer
    x = 4,099.11

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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.