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Finding the Fourth Proportional to 6,781.92, 10,190.16 and 6,332.64

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Solution

The fourth proportional to 6,781.92, 10,190.16 and 6,332.64 is: 9,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.92 : 10,190.16 = 6,332.64 : x
  2. Step 2: Convert to fraction form
    6,781.92/10,190.16 = 6,332.64/x
  3. Step 3: Cross multiply
    6,781.92x = 10,190.16 × 6,332.64
  4. Step 4: Simplify right side
    6,781.92x = 64,530,614.82
  5. Step 5: Solve for x
    x = 64,530,614.82/6,781.92
  6. Step 6: Final answer
    x = 9,515.10

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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.