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Finding the Fourth Proportional to 11,163.14, 16,719.03 and 6,471.56

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Solution

The fourth proportional to 11,163.14, 16,719.03 and 6,471.56 is: 9,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.14 : 16,719.03 = 6,471.56 : x
  2. Step 2: Convert to fraction form
    11,163.14/16,719.03 = 6,471.56/x
  3. Step 3: Cross multiply
    11,163.14x = 16,719.03 × 6,471.56
  4. Step 4: Simplify right side
    11,163.14x = 108,198,205.79
  5. Step 5: Solve for x
    x = 108,198,205.79/11,163.14
  6. Step 6: Final answer
    x = 9,692.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.