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Finding the Fourth Proportional to 11,997.92, 16,564.72 and 8,227.36

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Solution

The fourth proportional to 11,997.92, 16,564.72 and 8,227.36 is: 11,358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.92 : 16,564.72 = 8,227.36 : x
  2. Step 2: Convert to fraction form
    11,997.92/16,564.72 = 8,227.36/x
  3. Step 3: Cross multiply
    11,997.92x = 16,564.72 × 8,227.36
  4. Step 4: Simplify right side
    11,997.92x = 136,283,914.74
  5. Step 5: Solve for x
    x = 136,283,914.74/11,997.92
  6. Step 6: Final answer
    x = 11,358.96

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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.