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Finding the Fourth Proportional to 8,414.22, 11,593.26 and 5,614.86

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Solution

The fourth proportional to 8,414.22, 11,593.26 and 5,614.86 is: 7,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.22 : 11,593.26 = 5,614.86 : x
  2. Step 2: Convert to fraction form
    8,414.22/11,593.26 = 5,614.86/x
  3. Step 3: Cross multiply
    8,414.22x = 11,593.26 × 5,614.86
  4. Step 4: Simplify right side
    8,414.22x = 65,094,531.84
  5. Step 5: Solve for x
    x = 65,094,531.84/8,414.22
  6. Step 6: Final answer
    x = 7,736.25

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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.