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Finding the Fourth Proportional to 11,691.72, 17,517.78 and 7,065

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Solution

The fourth proportional to 11,691.72, 17,517.78 and 7,065 is: 10,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.72 : 17,517.78 = 7,065 : x
  2. Step 2: Convert to fraction form
    11,691.72/17,517.78 = 7,065/x
  3. Step 3: Cross multiply
    11,691.72x = 17,517.78 × 7,065
  4. Step 4: Simplify right side
    11,691.72x = 123,763,115.70
  5. Step 5: Solve for x
    x = 123,763,115.70/11,691.72
  6. Step 6: Final answer
    x = 10,585.54

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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.