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Finding the Fourth Proportional to 8,174.65, 12,254.68 and 3,241.75

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Solution

The fourth proportional to 8,174.65, 12,254.68 and 3,241.75 is: 4,859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.65 : 12,254.68 = 3,241.75 : x
  2. Step 2: Convert to fraction form
    8,174.65/12,254.68 = 3,241.75/x
  3. Step 3: Cross multiply
    8,174.65x = 12,254.68 × 3,241.75
  4. Step 4: Simplify right side
    8,174.65x = 39,726,608.89
  5. Step 5: Solve for x
    x = 39,726,608.89/8,174.65
  6. Step 6: Final answer
    x = 4,859.73

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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.