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Finding the Fourth Proportional to 10,679.21, 14,737.96 and 5,963.79

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Solution

The fourth proportional to 10,679.21, 14,737.96 and 5,963.79 is: 8,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.21 : 14,737.96 = 5,963.79 : x
  2. Step 2: Convert to fraction form
    10,679.21/14,737.96 = 5,963.79/x
  3. Step 3: Cross multiply
    10,679.21x = 14,737.96 × 5,963.79
  4. Step 4: Simplify right side
    10,679.21x = 87,894,098.47
  5. Step 5: Solve for x
    x = 87,894,098.47/10,679.21
  6. Step 6: Final answer
    x = 8,230.39

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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.