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Finding the Fourth Proportional to 10,131.89, 15,200.08 and 3,891.90

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Solution

The fourth proportional to 10,131.89, 15,200.08 and 3,891.90 is: 5,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.89 : 15,200.08 = 3,891.90 : x
  2. Step 2: Convert to fraction form
    10,131.89/15,200.08 = 3,891.90/x
  3. Step 3: Cross multiply
    10,131.89x = 15,200.08 × 3,891.90
  4. Step 4: Simplify right side
    10,131.89x = 59,157,191.35
  5. Step 5: Solve for x
    x = 59,157,191.35/10,131.89
  6. Step 6: Final answer
    x = 5,838.71

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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.