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Finding the Fourth Proportional to 8,342.38, 12,504.57 and 5,422.78

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Solution

The fourth proportional to 8,342.38, 12,504.57 and 5,422.78 is: 8,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.38 : 12,504.57 = 5,422.78 : x
  2. Step 2: Convert to fraction form
    8,342.38/12,504.57 = 5,422.78/x
  3. Step 3: Cross multiply
    8,342.38x = 12,504.57 × 5,422.78
  4. Step 4: Simplify right side
    8,342.38x = 67,809,532.10
  5. Step 5: Solve for x
    x = 67,809,532.10/8,342.38
  6. Step 6: Final answer
    x = 8,128.32

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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.