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Finding the Fourth Proportional to 11,942.31, 16,487.76 and 7,694.87

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Solution

The fourth proportional to 11,942.31, 16,487.76 and 7,694.87 is: 10,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.31 : 16,487.76 = 7,694.87 : x
  2. Step 2: Convert to fraction form
    11,942.31/16,487.76 = 7,694.87/x
  3. Step 3: Cross multiply
    11,942.31x = 16,487.76 × 7,694.87
  4. Step 4: Simplify right side
    11,942.31x = 126,871,128.57
  5. Step 5: Solve for x
    x = 126,871,128.57/11,942.31
  6. Step 6: Final answer
    x = 10,623.67

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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.