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Finding the Fourth Proportional to 11,306.92, 15,601.86 and 6,461.29

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Solution

The fourth proportional to 11,306.92, 15,601.86 and 6,461.29 is: 8,915.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.92 : 15,601.86 = 6,461.29 : x
  2. Step 2: Convert to fraction form
    11,306.92/15,601.86 = 6,461.29/x
  3. Step 3: Cross multiply
    11,306.92x = 15,601.86 × 6,461.29
  4. Step 4: Simplify right side
    11,306.92x = 100,808,142.00
  5. Step 5: Solve for x
    x = 100,808,142.00/11,306.92
  6. Step 6: Final answer
    x = 8,915.61

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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.