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Finding the Fourth Proportional to 7,781.52, 10,744.38 and 5,132.64

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Solution

The fourth proportional to 7,781.52, 10,744.38 and 5,132.64 is: 7,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.52 : 10,744.38 = 5,132.64 : x
  2. Step 2: Convert to fraction form
    7,781.52/10,744.38 = 5,132.64/x
  3. Step 3: Cross multiply
    7,781.52x = 10,744.38 × 5,132.64
  4. Step 4: Simplify right side
    7,781.52x = 55,147,034.56
  5. Step 5: Solve for x
    x = 55,147,034.56/7,781.52
  6. Step 6: Final answer
    x = 7,086.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.