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Finding the Fourth Proportional to 7,574.38, 11,361.84 and 2,380.12

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Solution

The fourth proportional to 7,574.38, 11,361.84 and 2,380.12 is: 3,570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.38 : 11,361.84 = 2,380.12 : x
  2. Step 2: Convert to fraction form
    7,574.38/11,361.84 = 2,380.12/x
  3. Step 3: Cross multiply
    7,574.38x = 11,361.84 × 2,380.12
  4. Step 4: Simplify right side
    7,574.38x = 27,042,542.62
  5. Step 5: Solve for x
    x = 27,042,542.62/7,574.38
  6. Step 6: Final answer
    x = 3,570.26

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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.