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Finding the Fourth Proportional to 8,221.44, 12,333.38 and 2,377.29

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Solution

The fourth proportional to 8,221.44, 12,333.38 and 2,377.29 is: 3,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.44 : 12,333.38 = 2,377.29 : x
  2. Step 2: Convert to fraction form
    8,221.44/12,333.38 = 2,377.29/x
  3. Step 3: Cross multiply
    8,221.44x = 12,333.38 × 2,377.29
  4. Step 4: Simplify right side
    8,221.44x = 29,320,009.05
  5. Step 5: Solve for x
    x = 29,320,009.05/8,221.44
  6. Step 6: Final answer
    x = 3,566.29

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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.