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Finding the Fourth Proportional to 11,761.61, 16,231.46 and 6,456.92

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Solution

The fourth proportional to 11,761.61, 16,231.46 and 6,456.92 is: 8,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.61 : 16,231.46 = 6,456.92 : x
  2. Step 2: Convert to fraction form
    11,761.61/16,231.46 = 6,456.92/x
  3. Step 3: Cross multiply
    11,761.61x = 16,231.46 × 6,456.92
  4. Step 4: Simplify right side
    11,761.61x = 104,805,125.26
  5. Step 5: Solve for x
    x = 104,805,125.26/11,761.61
  6. Step 6: Final answer
    x = 8,910.78

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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.