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Finding the Fourth Proportional to 11,872.27, 16,383.15 and 6,494.98

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Solution

The fourth proportional to 11,872.27, 16,383.15 and 6,494.98 is: 8,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.27 : 16,383.15 = 6,494.98 : x
  2. Step 2: Convert to fraction form
    11,872.27/16,383.15 = 6,494.98/x
  3. Step 3: Cross multiply
    11,872.27x = 16,383.15 × 6,494.98
  4. Step 4: Simplify right side
    11,872.27x = 106,408,288.78
  5. Step 5: Solve for x
    x = 106,408,288.78/11,872.27
  6. Step 6: Final answer
    x = 8,962.76

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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.