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Finding the Fourth Proportional to 11,919.46, 16,451.88 and 8,144.15

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Solution

The fourth proportional to 11,919.46, 16,451.88 and 8,144.15 is: 11,240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.46 : 16,451.88 = 8,144.15 : x
  2. Step 2: Convert to fraction form
    11,919.46/16,451.88 = 8,144.15/x
  3. Step 3: Cross multiply
    11,919.46x = 16,451.88 × 8,144.15
  4. Step 4: Simplify right side
    11,919.46x = 133,986,578.50
  5. Step 5: Solve for x
    x = 133,986,578.50/11,919.46
  6. Step 6: Final answer
    x = 11,240.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.