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Finding the Fourth Proportional to 8,241.50, 12,361.87 and 2,694.15

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Solution

The fourth proportional to 8,241.50, 12,361.87 and 2,694.15 is: 4,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.50 : 12,361.87 = 2,694.15 : x
  2. Step 2: Convert to fraction form
    8,241.50/12,361.87 = 2,694.15/x
  3. Step 3: Cross multiply
    8,241.50x = 12,361.87 × 2,694.15
  4. Step 4: Simplify right side
    8,241.50x = 33,304,732.06
  5. Step 5: Solve for x
    x = 33,304,732.06/8,241.50
  6. Step 6: Final answer
    x = 4,041.10

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Why These Related Problems?

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