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Finding the Fourth Proportional to 8,162.14, 12,241.83 and 3,163.78

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Solution

The fourth proportional to 8,162.14, 12,241.83 and 3,163.78 is: 4,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.14 : 12,241.83 = 3,163.78 : x
  2. Step 2: Convert to fraction form
    8,162.14/12,241.83 = 3,163.78/x
  3. Step 3: Cross multiply
    8,162.14x = 12,241.83 × 3,163.78
  4. Step 4: Simplify right side
    8,162.14x = 38,730,456.92
  5. Step 5: Solve for x
    x = 38,730,456.92/8,162.14
  6. Step 6: Final answer
    x = 4,745.14

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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.