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Finding the Fourth Proportional to 10,658.38, 14,708.96 and 5,943.57

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Solution

The fourth proportional to 10,658.38, 14,708.96 and 5,943.57 is: 8,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.38 : 14,708.96 = 5,943.57 : x
  2. Step 2: Convert to fraction form
    10,658.38/14,708.96 = 5,943.57/x
  3. Step 3: Cross multiply
    10,658.38x = 14,708.96 × 5,943.57
  4. Step 4: Simplify right side
    10,658.38x = 87,423,630.12
  5. Step 5: Solve for x
    x = 87,423,630.12/10,658.38
  6. Step 6: Final answer
    x = 8,202.34

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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.