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Finding the Fourth Proportional to 7,361.12, 11,042.16 and 2,744

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Solution

The fourth proportional to 7,361.12, 11,042.16 and 2,744 is: 4,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.12 : 11,042.16 = 2,744 : x
  2. Step 2: Convert to fraction form
    7,361.12/11,042.16 = 2,744/x
  3. Step 3: Cross multiply
    7,361.12x = 11,042.16 × 2,744
  4. Step 4: Simplify right side
    7,361.12x = 30,299,687.04
  5. Step 5: Solve for x
    x = 30,299,687.04/7,361.12
  6. Step 6: Final answer
    x = 4,116.18

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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.