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Finding the Fourth Proportional to 11,585.20, 17,375.13 and 6,906.53

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Solution

The fourth proportional to 11,585.20, 17,375.13 and 6,906.53 is: 10,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.20 : 17,375.13 = 6,906.53 : x
  2. Step 2: Convert to fraction form
    11,585.20/17,375.13 = 6,906.53/x
  3. Step 3: Cross multiply
    11,585.20x = 17,375.13 × 6,906.53
  4. Step 4: Simplify right side
    11,585.20x = 120,001,769.72
  5. Step 5: Solve for x
    x = 120,001,769.72/11,585.20
  6. Step 6: Final answer
    x = 10,358.20

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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.