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Finding the Fourth Proportional to 11,764.80, 16,227 and 7,569

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Solution

The fourth proportional to 11,764.80, 16,227 and 7,569 is: 10,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.80 : 16,227 = 7,569 : x
  2. Step 2: Convert to fraction form
    11,764.80/16,227 = 7,569/x
  3. Step 3: Cross multiply
    11,764.80x = 16,227 × 7,569
  4. Step 4: Simplify right side
    11,764.80x = 122,822,163
  5. Step 5: Solve for x
    x = 122,822,163/11,764.80
  6. Step 6: Final answer
    x = 10,439.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.