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Finding the Fourth Proportional to 8,324.22, 11,471.62 and 5,962.26

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Solution

The fourth proportional to 8,324.22, 11,471.62 and 5,962.26 is: 8,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.22 : 11,471.62 = 5,962.26 : x
  2. Step 2: Convert to fraction form
    8,324.22/11,471.62 = 5,962.26/x
  3. Step 3: Cross multiply
    8,324.22x = 11,471.62 × 5,962.26
  4. Step 4: Simplify right side
    8,324.22x = 68,396,781.06
  5. Step 5: Solve for x
    x = 68,396,781.06/8,324.22
  6. Step 6: Final answer
    x = 8,216.60

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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.