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Finding the Fourth Proportional to 10,512.43, 15,737.15 and 10,138.58

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Solution

The fourth proportional to 10,512.43, 15,737.15 and 10,138.58 is: 15,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.43 : 15,737.15 = 10,138.58 : x
  2. Step 2: Convert to fraction form
    10,512.43/15,737.15 = 10,138.58/x
  3. Step 3: Cross multiply
    10,512.43x = 15,737.15 × 10,138.58
  4. Step 4: Simplify right side
    10,512.43x = 159,552,448.44
  5. Step 5: Solve for x
    x = 159,552,448.44/10,512.43
  6. Step 6: Final answer
    x = 15,177.50

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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.