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Finding the Fourth Proportional to 8,174.98, 12,251.68 and 3,241.92

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Solution

The fourth proportional to 8,174.98, 12,251.68 and 3,241.92 is: 4,858.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.98 : 12,251.68 = 3,241.92 : x
  2. Step 2: Convert to fraction form
    8,174.98/12,251.68 = 3,241.92/x
  3. Step 3: Cross multiply
    8,174.98x = 12,251.68 × 3,241.92
  4. Step 4: Simplify right side
    8,174.98x = 39,718,966.43
  5. Step 5: Solve for x
    x = 39,718,966.43/8,174.98
  6. Step 6: Final answer
    x = 4,858.60

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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.