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Finding the Fourth Proportional to 11,996.62, 16,557.46 and 7,524.20

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Solution

The fourth proportional to 11,996.62, 16,557.46 and 7,524.20 is: 10,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.62 : 16,557.46 = 7,524.20 : x
  2. Step 2: Convert to fraction form
    11,996.62/16,557.46 = 7,524.20/x
  3. Step 3: Cross multiply
    11,996.62x = 16,557.46 × 7,524.20
  4. Step 4: Simplify right side
    11,996.62x = 124,581,663.12
  5. Step 5: Solve for x
    x = 124,581,663.12/11,996.62
  6. Step 6: Final answer
    x = 10,384.73

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