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Finding the Fourth Proportional to 11,717.31, 16,163.76 and 7,940.73

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Solution

The fourth proportional to 11,717.31, 16,163.76 and 7,940.73 is: 10,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.31 : 16,163.76 = 7,940.73 : x
  2. Step 2: Convert to fraction form
    11,717.31/16,163.76 = 7,940.73/x
  3. Step 3: Cross multiply
    11,717.31x = 16,163.76 × 7,940.73
  4. Step 4: Simplify right side
    11,717.31x = 128,352,053.94
  5. Step 5: Solve for x
    x = 128,352,053.94/11,717.31
  6. Step 6: Final answer
    x = 10,954.05

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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.