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Finding the Fourth Proportional to 10,147.50, 15,221.34 and 3,991.50

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Solution

The fourth proportional to 10,147.50, 15,221.34 and 3,991.50 is: 5,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.50 : 15,221.34 = 3,991.50 : x
  2. Step 2: Convert to fraction form
    10,147.50/15,221.34 = 3,991.50/x
  3. Step 3: Cross multiply
    10,147.50x = 15,221.34 × 3,991.50
  4. Step 4: Simplify right side
    10,147.50x = 60,755,978.61
  5. Step 5: Solve for x
    x = 60,755,978.61/10,147.50
  6. Step 6: Final answer
    x = 5,987.29

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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.