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Finding the Fourth Proportional to 10,487.89, 15,734.57 and 3,914.13

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Solution

The fourth proportional to 10,487.89, 15,734.57 and 3,914.13 is: 5,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.89 : 15,734.57 = 3,914.13 : x
  2. Step 2: Convert to fraction form
    10,487.89/15,734.57 = 3,914.13/x
  3. Step 3: Cross multiply
    10,487.89x = 15,734.57 × 3,914.13
  4. Step 4: Simplify right side
    10,487.89x = 61,587,152.47
  5. Step 5: Solve for x
    x = 61,587,152.47/10,487.89
  6. Step 6: Final answer
    x = 5,872.22

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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.