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Finding the Fourth Proportional to 8,112.52, 12,174.36 and 3,182.14

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Solution

The fourth proportional to 8,112.52, 12,174.36 and 3,182.14 is: 4,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.52 : 12,174.36 = 3,182.14 : x
  2. Step 2: Convert to fraction form
    8,112.52/12,174.36 = 3,182.14/x
  3. Step 3: Cross multiply
    8,112.52x = 12,174.36 × 3,182.14
  4. Step 4: Simplify right side
    8,112.52x = 38,740,517.93
  5. Step 5: Solve for x
    x = 38,740,517.93/8,112.52
  6. Step 6: Final answer
    x = 4,775.40

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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.