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Finding the Fourth Proportional to 8,287.32, 12,443.25 and 8,139.69

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Solution

The fourth proportional to 8,287.32, 12,443.25 and 8,139.69 is: 12,221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.32 : 12,443.25 = 8,139.69 : x
  2. Step 2: Convert to fraction form
    8,287.32/12,443.25 = 8,139.69/x
  3. Step 3: Cross multiply
    8,287.32x = 12,443.25 × 8,139.69
  4. Step 4: Simplify right side
    8,287.32x = 101,284,197.59
  5. Step 5: Solve for x
    x = 101,284,197.59/8,287.32
  6. Step 6: Final answer
    x = 12,221.59

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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.