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Finding the Fourth Proportional to 10,414.17, 14,372.73 and 5,939.04

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Solution

The fourth proportional to 10,414.17, 14,372.73 and 5,939.04 is: 8,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.17 : 14,372.73 = 5,939.04 : x
  2. Step 2: Convert to fraction form
    10,414.17/14,372.73 = 5,939.04/x
  3. Step 3: Cross multiply
    10,414.17x = 14,372.73 × 5,939.04
  4. Step 4: Simplify right side
    10,414.17x = 85,360,218.38
  5. Step 5: Solve for x
    x = 85,360,218.38/10,414.17
  6. Step 6: Final answer
    x = 8,196.55

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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.