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Finding the Fourth Proportional to 11,691.10, 17,545.96 and 6,147.70

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Solution

The fourth proportional to 11,691.10, 17,545.96 and 6,147.70 is: 9,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.10 : 17,545.96 = 6,147.70 : x
  2. Step 2: Convert to fraction form
    11,691.10/17,545.96 = 6,147.70/x
  3. Step 3: Cross multiply
    11,691.10x = 17,545.96 × 6,147.70
  4. Step 4: Simplify right side
    11,691.10x = 107,867,298.29
  5. Step 5: Solve for x
    x = 107,867,298.29/11,691.10
  6. Step 6: Final answer
    x = 9,226.45

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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.