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Finding the Fourth Proportional to 10,676.50, 16,016.80 and 3,279.64

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Solution

The fourth proportional to 10,676.50, 16,016.80 and 3,279.64 is: 4,920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.50 : 16,016.80 = 3,279.64 : x
  2. Step 2: Convert to fraction form
    10,676.50/16,016.80 = 3,279.64/x
  3. Step 3: Cross multiply
    10,676.50x = 16,016.80 × 3,279.64
  4. Step 4: Simplify right side
    10,676.50x = 52,529,337.95
  5. Step 5: Solve for x
    x = 52,529,337.95/10,676.50
  6. Step 6: Final answer
    x = 4,920.09

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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.