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Finding the Fourth Proportional to 10,211.91, 14,092.43 and 5,965.89

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Solution

The fourth proportional to 10,211.91, 14,092.43 and 5,965.89 is: 8,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.91 : 14,092.43 = 5,965.89 : x
  2. Step 2: Convert to fraction form
    10,211.91/14,092.43 = 5,965.89/x
  3. Step 3: Cross multiply
    10,211.91x = 14,092.43 × 5,965.89
  4. Step 4: Simplify right side
    10,211.91x = 84,073,857.38
  5. Step 5: Solve for x
    x = 84,073,857.38/10,211.91
  6. Step 6: Final answer
    x = 8,232.92

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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.