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Finding the Fourth Proportional to 8,109.80, 12,169.80 and 3,179.30

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Solution

The fourth proportional to 8,109.80, 12,169.80 and 3,179.30 is: 4,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.80 : 12,169.80 = 3,179.30 : x
  2. Step 2: Convert to fraction form
    8,109.80/12,169.80 = 3,179.30/x
  3. Step 3: Cross multiply
    8,109.80x = 12,169.80 × 3,179.30
  4. Step 4: Simplify right side
    8,109.80x = 38,691,445.14
  5. Step 5: Solve for x
    x = 38,691,445.14/8,109.80
  6. Step 6: Final answer
    x = 4,770.95

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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.