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Finding the Fourth Proportional to 8,223.12, 12,310.38 and 7,761.42

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Solution

The fourth proportional to 8,223.12, 12,310.38 and 7,761.42 is: 11,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.12 : 12,310.38 = 7,761.42 : x
  2. Step 2: Convert to fraction form
    8,223.12/12,310.38 = 7,761.42/x
  3. Step 3: Cross multiply
    8,223.12x = 12,310.38 × 7,761.42
  4. Step 4: Simplify right side
    8,223.12x = 95,546,029.54
  5. Step 5: Solve for x
    x = 95,546,029.54/8,223.12
  6. Step 6: Final answer
    x = 11,619.19

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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.