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Finding the Fourth Proportional to 11,231.92, 15,513.85 and 8,411.88

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Solution

The fourth proportional to 11,231.92, 15,513.85 and 8,411.88 is: 11,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.92 : 15,513.85 = 8,411.88 : x
  2. Step 2: Convert to fraction form
    11,231.92/15,513.85 = 8,411.88/x
  3. Step 3: Cross multiply
    11,231.92x = 15,513.85 × 8,411.88
  4. Step 4: Simplify right side
    11,231.92x = 130,500,665.91
  5. Step 5: Solve for x
    x = 130,500,665.91/11,231.92
  6. Step 6: Final answer
    x = 11,618.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.