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Finding the Fourth Proportional to 10,414.93, 14,371.89 and 5,938.87

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Solution

The fourth proportional to 10,414.93, 14,371.89 and 5,938.87 is: 8,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.93 : 14,371.89 = 5,938.87 : x
  2. Step 2: Convert to fraction form
    10,414.93/14,371.89 = 5,938.87/x
  3. Step 3: Cross multiply
    10,414.93x = 14,371.89 × 5,938.87
  4. Step 4: Simplify right side
    10,414.93x = 85,352,786.36
  5. Step 5: Solve for x
    x = 85,352,786.36/10,414.93
  6. Step 6: Final answer
    x = 8,195.23

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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.