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Finding the Fourth Proportional to 11,761.69, 16,230.62 and 6,456.59

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Solution

The fourth proportional to 11,761.69, 16,230.62 and 6,456.59 is: 8,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.69 : 16,230.62 = 6,456.59 : x
  2. Step 2: Convert to fraction form
    11,761.69/16,230.62 = 6,456.59/x
  3. Step 3: Cross multiply
    11,761.69x = 16,230.62 × 6,456.59
  4. Step 4: Simplify right side
    11,761.69x = 104,794,426.50
  5. Step 5: Solve for x
    x = 104,794,426.50/11,761.69
  6. Step 6: Final answer
    x = 8,909.81

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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.