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Finding the Fourth Proportional to 8,726.50, 13,082.31 and 3,792.39

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Solution

The fourth proportional to 8,726.50, 13,082.31 and 3,792.39 is: 5,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.50 : 13,082.31 = 3,792.39 : x
  2. Step 2: Convert to fraction form
    8,726.50/13,082.31 = 3,792.39/x
  3. Step 3: Cross multiply
    8,726.50x = 13,082.31 × 3,792.39
  4. Step 4: Simplify right side
    8,726.50x = 49,613,172.56
  5. Step 5: Solve for x
    x = 49,613,172.56/8,726.50
  6. Step 6: Final answer
    x = 5,685.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.