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Finding the Fourth Proportional to 10,872.49, 16,311.36 and 3,375.82

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Solution

The fourth proportional to 10,872.49, 16,311.36 and 3,375.82 is: 5,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.49 : 16,311.36 = 3,375.82 : x
  2. Step 2: Convert to fraction form
    10,872.49/16,311.36 = 3,375.82/x
  3. Step 3: Cross multiply
    10,872.49x = 16,311.36 × 3,375.82
  4. Step 4: Simplify right side
    10,872.49x = 55,064,215.32
  5. Step 5: Solve for x
    x = 55,064,215.32/10,872.49
  6. Step 6: Final answer
    x = 5,064.55

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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.