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Finding the Fourth Proportional to 8,111.52, 12,169.18 and 3,431.95

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Solution

The fourth proportional to 8,111.52, 12,169.18 and 3,431.95 is: 5,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.52 : 12,169.18 = 3,431.95 : x
  2. Step 2: Convert to fraction form
    8,111.52/12,169.18 = 3,431.95/x
  3. Step 3: Cross multiply
    8,111.52x = 12,169.18 × 3,431.95
  4. Step 4: Simplify right side
    8,111.52x = 41,764,017.30
  5. Step 5: Solve for x
    x = 41,764,017.30/8,111.52
  6. Step 6: Final answer
    x = 5,148.73

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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.