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Finding the Fourth Proportional to 8,000.22, 11,996.37 and 2,452.23

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Solution

The fourth proportional to 8,000.22, 11,996.37 and 2,452.23 is: 3,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.22 : 11,996.37 = 2,452.23 : x
  2. Step 2: Convert to fraction form
    8,000.22/11,996.37 = 2,452.23/x
  3. Step 3: Cross multiply
    8,000.22x = 11,996.37 × 2,452.23
  4. Step 4: Simplify right side
    8,000.22x = 29,417,858.41
  5. Step 5: Solve for x
    x = 29,417,858.41/8,000.22
  6. Step 6: Final answer
    x = 3,677.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.