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Finding the Fourth Proportional to 8,128.47, 12,188.13 and 2,580.78

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Solution

The fourth proportional to 8,128.47, 12,188.13 and 2,580.78 is: 3,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.47 : 12,188.13 = 2,580.78 : x
  2. Step 2: Convert to fraction form
    8,128.47/12,188.13 = 2,580.78/x
  3. Step 3: Cross multiply
    8,128.47x = 12,188.13 × 2,580.78
  4. Step 4: Simplify right side
    8,128.47x = 31,454,882.14
  5. Step 5: Solve for x
    x = 31,454,882.14/8,128.47
  6. Step 6: Final answer
    x = 3,869.72

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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.