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Finding the Fourth Proportional to 11,872.44, 16,383.57 and 6,494.85

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Solution

The fourth proportional to 11,872.44, 16,383.57 and 6,494.85 is: 8,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.44 : 16,383.57 = 6,494.85 : x
  2. Step 2: Convert to fraction form
    11,872.44/16,383.57 = 6,494.85/x
  3. Step 3: Cross multiply
    11,872.44x = 16,383.57 × 6,494.85
  4. Step 4: Simplify right side
    11,872.44x = 106,408,805.26
  5. Step 5: Solve for x
    x = 106,408,805.26/11,872.44
  6. Step 6: Final answer
    x = 8,962.67

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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.