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Finding the Fourth Proportional to 11,115.70, 16,638.69 and 6,169.42

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Solution

The fourth proportional to 11,115.70, 16,638.69 and 6,169.42 is: 9,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,115.70 : 16,638.69 = 6,169.42 : x
  2. Step 2: Convert to fraction form
    11,115.70/16,638.69 = 6,169.42/x
  3. Step 3: Cross multiply
    11,115.70x = 16,638.69 × 6,169.42
  4. Step 4: Simplify right side
    11,115.70x = 102,651,066.86
  5. Step 5: Solve for x
    x = 102,651,066.86/11,115.70
  6. Step 6: Final answer
    x = 9,234.78

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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.