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Finding the Fourth Proportional to 10,593.83, 15,871.38 and 4,961.17

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Solution

The fourth proportional to 10,593.83, 15,871.38 and 4,961.17 is: 7,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.83 : 15,871.38 = 4,961.17 : x
  2. Step 2: Convert to fraction form
    10,593.83/15,871.38 = 4,961.17/x
  3. Step 3: Cross multiply
    10,593.83x = 15,871.38 × 4,961.17
  4. Step 4: Simplify right side
    10,593.83x = 78,740,614.31
  5. Step 5: Solve for x
    x = 78,740,614.31/10,593.83
  6. Step 6: Final answer
    x = 7,432.69

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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.