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Finding the Fourth Proportional to 10,679.26, 14,737.38 and 5,963.56

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Solution

The fourth proportional to 10,679.26, 14,737.38 and 5,963.56 is: 8,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.26 : 14,737.38 = 5,963.56 : x
  2. Step 2: Convert to fraction form
    10,679.26/14,737.38 = 5,963.56/x
  3. Step 3: Cross multiply
    10,679.26x = 14,737.38 × 5,963.56
  4. Step 4: Simplify right side
    10,679.26x = 87,887,249.87
  5. Step 5: Solve for x
    x = 87,887,249.87/10,679.26
  6. Step 6: Final answer
    x = 8,229.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.