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Finding the Fourth Proportional to 10,535.88, 15,791.22 and 4,685.88

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Solution

The fourth proportional to 10,535.88, 15,791.22 and 4,685.88 is: 7,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.88 : 15,791.22 = 4,685.88 : x
  2. Step 2: Convert to fraction form
    10,535.88/15,791.22 = 4,685.88/x
  3. Step 3: Cross multiply
    10,535.88x = 15,791.22 × 4,685.88
  4. Step 4: Simplify right side
    10,535.88x = 73,995,761.97
  5. Step 5: Solve for x
    x = 73,995,761.97/10,535.88
  6. Step 6: Final answer
    x = 7,023.22

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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.