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Finding the Fourth Proportional to 10,231.92, 15,354.36 and 5,857.92

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Solution

The fourth proportional to 10,231.92, 15,354.36 and 5,857.92 is: 8,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.92 : 15,354.36 = 5,857.92 : x
  2. Step 2: Convert to fraction form
    10,231.92/15,354.36 = 5,857.92/x
  3. Step 3: Cross multiply
    10,231.92x = 15,354.36 × 5,857.92
  4. Step 4: Simplify right side
    10,231.92x = 89,944,612.53
  5. Step 5: Solve for x
    x = 89,944,612.53/10,231.92
  6. Step 6: Final answer
    x = 8,790.59

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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.