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Finding the Fourth Proportional to 10,591.97, 15,892.13 and 4,019.90

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Solution

The fourth proportional to 10,591.97, 15,892.13 and 4,019.90 is: 6,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.97 : 15,892.13 = 4,019.90 : x
  2. Step 2: Convert to fraction form
    10,591.97/15,892.13 = 4,019.90/x
  3. Step 3: Cross multiply
    10,591.97x = 15,892.13 × 4,019.90
  4. Step 4: Simplify right side
    10,591.97x = 63,884,703.98
  5. Step 5: Solve for x
    x = 63,884,703.98/10,591.97
  6. Step 6: Final answer
    x = 6,031.43

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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.