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Finding the Fourth Proportional to 11,035.78, 16,550.10 and 3,638.48

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Solution

The fourth proportional to 11,035.78, 16,550.10 and 3,638.48 is: 5,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,035.78 : 16,550.10 = 3,638.48 : x
  2. Step 2: Convert to fraction form
    11,035.78/16,550.10 = 3,638.48/x
  3. Step 3: Cross multiply
    11,035.78x = 16,550.10 × 3,638.48
  4. Step 4: Simplify right side
    11,035.78x = 60,217,207.85
  5. Step 5: Solve for x
    x = 60,217,207.85/11,035.78
  6. Step 6: Final answer
    x = 5,456.54

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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.