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Finding the Fourth Proportional to 11,162.66, 16,742.17 and 3,766.96

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Solution

The fourth proportional to 11,162.66, 16,742.17 and 3,766.96 is: 5,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.66 : 16,742.17 = 3,766.96 : x
  2. Step 2: Convert to fraction form
    11,162.66/16,742.17 = 3,766.96/x
  3. Step 3: Cross multiply
    11,162.66x = 16,742.17 × 3,766.96
  4. Step 4: Simplify right side
    11,162.66x = 63,067,084.70
  5. Step 5: Solve for x
    x = 63,067,084.70/11,162.66
  6. Step 6: Final answer
    x = 5,649.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.