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Finding the Fourth Proportional to 11,772, 16,232 and 7,517.44

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Solution

The fourth proportional to 11,772, 16,232 and 7,517.44 is: 10,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772 : 16,232 = 7,517.44 : x
  2. Step 2: Convert to fraction form
    11,772/16,232 = 7,517.44/x
  3. Step 3: Cross multiply
    11,772x = 16,232 × 7,517.44
  4. Step 4: Simplify right side
    11,772x = 122,023,086.08
  5. Step 5: Solve for x
    x = 122,023,086.08/11,772
  6. Step 6: Final answer
    x = 10,365.54

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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.