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Finding the Fourth Proportional to 8,425.38, 12,638.12 and 3,427.84

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Solution

The fourth proportional to 8,425.38, 12,638.12 and 3,427.84 is: 5,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.38 : 12,638.12 = 3,427.84 : x
  2. Step 2: Convert to fraction form
    8,425.38/12,638.12 = 3,427.84/x
  3. Step 3: Cross multiply
    8,425.38x = 12,638.12 × 3,427.84
  4. Step 4: Simplify right side
    8,425.38x = 43,321,453.26
  5. Step 5: Solve for x
    x = 43,321,453.26/8,425.38
  6. Step 6: Final answer
    x = 5,141.78

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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.