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Finding the Fourth Proportional to 8,224.82, 11,426.34 and 8,147.96

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Solution

The fourth proportional to 8,224.82, 11,426.34 and 8,147.96 is: 11,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.82 : 11,426.34 = 8,147.96 : x
  2. Step 2: Convert to fraction form
    8,224.82/11,426.34 = 8,147.96/x
  3. Step 3: Cross multiply
    8,224.82x = 11,426.34 × 8,147.96
  4. Step 4: Simplify right side
    8,224.82x = 93,101,361.27
  5. Step 5: Solve for x
    x = 93,101,361.27/8,224.82
  6. Step 6: Final answer
    x = 11,319.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.