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Finding the Fourth Proportional to 11,217.96, 16,747.83 and 8,571.49

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Solution

The fourth proportional to 11,217.96, 16,747.83 and 8,571.49 is: 12,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,217.96 : 16,747.83 = 8,571.49 : x
  2. Step 2: Convert to fraction form
    11,217.96/16,747.83 = 8,571.49/x
  3. Step 3: Cross multiply
    11,217.96x = 16,747.83 × 8,571.49
  4. Step 4: Simplify right side
    11,217.96x = 143,553,815.50
  5. Step 5: Solve for x
    x = 143,553,815.50/11,217.96
  6. Step 6: Final answer
    x = 12,796.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.