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Finding the Fourth Proportional to 10,414.58, 14,372.07 and 5,939.73

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Solution

The fourth proportional to 10,414.58, 14,372.07 and 5,939.73 is: 8,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.58 : 14,372.07 = 5,939.73 : x
  2. Step 2: Convert to fraction form
    10,414.58/14,372.07 = 5,939.73/x
  3. Step 3: Cross multiply
    10,414.58x = 14,372.07 × 5,939.73
  4. Step 4: Simplify right side
    10,414.58x = 85,366,193.07
  5. Step 5: Solve for x
    x = 85,366,193.07/10,414.58
  6. Step 6: Final answer
    x = 8,196.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.