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Finding the Fourth Proportional to 10,480.65, 15,722.92 and 3,461.15

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Solution

The fourth proportional to 10,480.65, 15,722.92 and 3,461.15 is: 5,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.65 : 15,722.92 = 3,461.15 : x
  2. Step 2: Convert to fraction form
    10,480.65/15,722.92 = 3,461.15/x
  3. Step 3: Cross multiply
    10,480.65x = 15,722.92 × 3,461.15
  4. Step 4: Simplify right side
    10,480.65x = 54,419,384.56
  5. Step 5: Solve for x
    x = 54,419,384.56/10,480.65
  6. Step 6: Final answer
    x = 5,192.37

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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.