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Finding the Fourth Proportional to 10,679.43, 14,737.64 and 5,963.88

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Solution

The fourth proportional to 10,679.43, 14,737.64 and 5,963.88 is: 8,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.43 : 14,737.64 = 5,963.88 : x
  2. Step 2: Convert to fraction form
    10,679.43/14,737.64 = 5,963.88/x
  3. Step 3: Cross multiply
    10,679.43x = 14,737.64 × 5,963.88
  4. Step 4: Simplify right side
    10,679.43x = 87,893,486.62
  5. Step 5: Solve for x
    x = 87,893,486.62/10,679.43
  6. Step 6: Final answer
    x = 8,230.17

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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.