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Finding the Fourth Proportional to 8,112.60, 12,169.44 and 2,269.20

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Solution

The fourth proportional to 8,112.60, 12,169.44 and 2,269.20 is: 3,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.60 : 12,169.44 = 2,269.20 : x
  2. Step 2: Convert to fraction form
    8,112.60/12,169.44 = 2,269.20/x
  3. Step 3: Cross multiply
    8,112.60x = 12,169.44 × 2,269.20
  4. Step 4: Simplify right side
    8,112.60x = 27,614,893.25
  5. Step 5: Solve for x
    x = 27,614,893.25/8,112.60
  6. Step 6: Final answer
    x = 3,403.95

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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.