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Finding the Fourth Proportional to 8,204.80, 12,309.20 and 2,361.44

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Solution

The fourth proportional to 8,204.80, 12,309.20 and 2,361.44 is: 3,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.80 : 12,309.20 = 2,361.44 : x
  2. Step 2: Convert to fraction form
    8,204.80/12,309.20 = 2,361.44/x
  3. Step 3: Cross multiply
    8,204.80x = 12,309.20 × 2,361.44
  4. Step 4: Simplify right side
    8,204.80x = 29,067,437.25
  5. Step 5: Solve for x
    x = 29,067,437.25/8,204.80
  6. Step 6: Final answer
    x = 3,542.74

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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.