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Finding the Fourth Proportional to 10,510.96, 15,769.20 and 3,937.24

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Solution

The fourth proportional to 10,510.96, 15,769.20 and 3,937.24 is: 5,906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.96 : 15,769.20 = 3,937.24 : x
  2. Step 2: Convert to fraction form
    10,510.96/15,769.20 = 3,937.24/x
  3. Step 3: Cross multiply
    10,510.96x = 15,769.20 × 3,937.24
  4. Step 4: Simplify right side
    10,510.96x = 62,087,125.01
  5. Step 5: Solve for x
    x = 62,087,125.01/10,510.96
  6. Step 6: Final answer
    x = 5,906.89

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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.