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Finding the Fourth Proportional to 11,401.92, 15,732.96 and 6,432.96

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Solution

The fourth proportional to 11,401.92, 15,732.96 and 6,432.96 is: 8,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401.92 : 15,732.96 = 6,432.96 : x
  2. Step 2: Convert to fraction form
    11,401.92/15,732.96 = 6,432.96/x
  3. Step 3: Cross multiply
    11,401.92x = 15,732.96 × 6,432.96
  4. Step 4: Simplify right side
    11,401.92x = 101,209,502.36
  5. Step 5: Solve for x
    x = 101,209,502.36/11,401.92
  6. Step 6: Final answer
    x = 8,876.53

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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.