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Finding the Fourth Proportional to 8,542.32, 12,814.56 and 3,348.60

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Solution

The fourth proportional to 8,542.32, 12,814.56 and 3,348.60 is: 5,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.32 : 12,814.56 = 3,348.60 : x
  2. Step 2: Convert to fraction form
    8,542.32/12,814.56 = 3,348.60/x
  3. Step 3: Cross multiply
    8,542.32x = 12,814.56 × 3,348.60
  4. Step 4: Simplify right side
    8,542.32x = 42,910,835.62
  5. Step 5: Solve for x
    x = 42,910,835.62/8,542.32
  6. Step 6: Final answer
    x = 5,023.32

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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.