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Finding the Fourth Proportional to 8,256.74, 12,382.20 and 5,290.92

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Solution

The fourth proportional to 8,256.74, 12,382.20 and 5,290.92 is: 7,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.74 : 12,382.20 = 5,290.92 : x
  2. Step 2: Convert to fraction form
    8,256.74/12,382.20 = 5,290.92/x
  3. Step 3: Cross multiply
    8,256.74x = 12,382.20 × 5,290.92
  4. Step 4: Simplify right side
    8,256.74x = 65,513,229.62
  5. Step 5: Solve for x
    x = 65,513,229.62/8,256.74
  6. Step 6: Final answer
    x = 7,934.52

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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.