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Finding the Fourth Proportional to 8,231.52, 12,331.62 and 5,101.68

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Solution

The fourth proportional to 8,231.52, 12,331.62 and 5,101.68 is: 7,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.52 : 12,331.62 = 5,101.68 : x
  2. Step 2: Convert to fraction form
    8,231.52/12,331.62 = 5,101.68/x
  3. Step 3: Cross multiply
    8,231.52x = 12,331.62 × 5,101.68
  4. Step 4: Simplify right side
    8,231.52x = 62,911,979.12
  5. Step 5: Solve for x
    x = 62,911,979.12/8,231.52
  6. Step 6: Final answer
    x = 7,642.81

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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.