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Finding the Fourth Proportional to 10,954.92, 16,434.81 and 3,163.14

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Solution

The fourth proportional to 10,954.92, 16,434.81 and 3,163.14 is: 4,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.92 : 16,434.81 = 3,163.14 : x
  2. Step 2: Convert to fraction form
    10,954.92/16,434.81 = 3,163.14/x
  3. Step 3: Cross multiply
    10,954.92x = 16,434.81 × 3,163.14
  4. Step 4: Simplify right side
    10,954.92x = 51,985,604.90
  5. Step 5: Solve for x
    x = 51,985,604.90/10,954.92
  6. Step 6: Final answer
    x = 4,745.41

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