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Finding the Fourth Proportional to 8,241.42, 12,362.89 and 2,694.80

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Solution

The fourth proportional to 8,241.42, 12,362.89 and 2,694.80 is: 4,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.42 : 12,362.89 = 2,694.80 : x
  2. Step 2: Convert to fraction form
    8,241.42/12,362.89 = 2,694.80/x
  3. Step 3: Cross multiply
    8,241.42x = 12,362.89 × 2,694.80
  4. Step 4: Simplify right side
    8,241.42x = 33,315,454.16
  5. Step 5: Solve for x
    x = 33,315,454.16/8,241.42
  6. Step 6: Final answer
    x = 4,042.44

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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.