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Finding the Fourth Proportional to 8,250.42, 12,377.52 and 2,406.82

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Solution

The fourth proportional to 8,250.42, 12,377.52 and 2,406.82 is: 3,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.42 : 12,377.52 = 2,406.82 : x
  2. Step 2: Convert to fraction form
    8,250.42/12,377.52 = 2,406.82/x
  3. Step 3: Cross multiply
    8,250.42x = 12,377.52 × 2,406.82
  4. Step 4: Simplify right side
    8,250.42x = 29,790,462.69
  5. Step 5: Solve for x
    x = 29,790,462.69/8,250.42
  6. Step 6: Final answer
    x = 3,610.78

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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.