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Finding the Fourth Proportional to 8,129.57, 12,196.31 and 4,179.20

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Solution

The fourth proportional to 8,129.57, 12,196.31 and 4,179.20 is: 6,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.57 : 12,196.31 = 4,179.20 : x
  2. Step 2: Convert to fraction form
    8,129.57/12,196.31 = 4,179.20/x
  3. Step 3: Cross multiply
    8,129.57x = 12,196.31 × 4,179.20
  4. Step 4: Simplify right side
    8,129.57x = 50,970,736.87
  5. Step 5: Solve for x
    x = 50,970,736.87/8,129.57
  6. Step 6: Final answer
    x = 6,269.80

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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.