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Finding the Fourth Proportional to 11,915.28, 17,872.92 and 4,119.84

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Solution

The fourth proportional to 11,915.28, 17,872.92 and 4,119.84 is: 6,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.28 : 17,872.92 = 4,119.84 : x
  2. Step 2: Convert to fraction form
    11,915.28/17,872.92 = 4,119.84/x
  3. Step 3: Cross multiply
    11,915.28x = 17,872.92 × 4,119.84
  4. Step 4: Simplify right side
    11,915.28x = 73,633,570.73
  5. Step 5: Solve for x
    x = 73,633,570.73/11,915.28
  6. Step 6: Final answer
    x = 6,179.76

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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.