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Finding the Fourth Proportional to 10,462.52, 15,695.46 and 3,440.49

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Solution

The fourth proportional to 10,462.52, 15,695.46 and 3,440.49 is: 5,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.52 : 15,695.46 = 3,440.49 : x
  2. Step 2: Convert to fraction form
    10,462.52/15,695.46 = 3,440.49/x
  3. Step 3: Cross multiply
    10,462.52x = 15,695.46 × 3,440.49
  4. Step 4: Simplify right side
    10,462.52x = 54,000,073.18
  5. Step 5: Solve for x
    x = 54,000,073.18/10,462.52
  6. Step 6: Final answer
    x = 5,161.29

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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.