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Finding the Fourth Proportional to 8,231.14, 11,358.89 and 4,454.22

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Solution

The fourth proportional to 8,231.14, 11,358.89 and 4,454.22 is: 6,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.14 : 11,358.89 = 4,454.22 : x
  2. Step 2: Convert to fraction form
    8,231.14/11,358.89 = 4,454.22/x
  3. Step 3: Cross multiply
    8,231.14x = 11,358.89 × 4,454.22
  4. Step 4: Simplify right side
    8,231.14x = 50,594,995.02
  5. Step 5: Solve for x
    x = 50,594,995.02/8,231.14
  6. Step 6: Final answer
    x = 6,146.78

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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.