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Finding the Fourth Proportional to 10,414.59, 14,372 and 5,938.19

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Solution

The fourth proportional to 10,414.59, 14,372 and 5,938.19 is: 8,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.59 : 14,372 = 5,938.19 : x
  2. Step 2: Convert to fraction form
    10,414.59/14,372 = 5,938.19/x
  3. Step 3: Cross multiply
    10,414.59x = 14,372 × 5,938.19
  4. Step 4: Simplify right side
    10,414.59x = 85,343,666.68
  5. Step 5: Solve for x
    x = 85,343,666.68/10,414.59
  6. Step 6: Final answer
    x = 8,194.63

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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.