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Finding the Fourth Proportional to 7,908.42, 11,862.48 and 2,361.78

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Solution

The fourth proportional to 7,908.42, 11,862.48 and 2,361.78 is: 3,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908.42 : 11,862.48 = 2,361.78 : x
  2. Step 2: Convert to fraction form
    7,908.42/11,862.48 = 2,361.78/x
  3. Step 3: Cross multiply
    7,908.42x = 11,862.48 × 2,361.78
  4. Step 4: Simplify right side
    7,908.42x = 28,016,568.01
  5. Step 5: Solve for x
    x = 28,016,568.01/7,908.42
  6. Step 6: Final answer
    x = 3,542.63

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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.