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Finding the Fourth Proportional to 11,761.83, 16,231.05 and 6,456.60

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Solution

The fourth proportional to 11,761.83, 16,231.05 and 6,456.60 is: 8,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.83 : 16,231.05 = 6,456.60 : x
  2. Step 2: Convert to fraction form
    11,761.83/16,231.05 = 6,456.60/x
  3. Step 3: Cross multiply
    11,761.83x = 16,231.05 × 6,456.60
  4. Step 4: Simplify right side
    11,761.83x = 104,797,397.43
  5. Step 5: Solve for x
    x = 104,797,397.43/11,761.83
  6. Step 6: Final answer
    x = 8,909.96

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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.