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Finding the Fourth Proportional to 10,954.38, 16,434.03 and 3,163.80

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Solution

The fourth proportional to 10,954.38, 16,434.03 and 3,163.80 is: 4,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.38 : 16,434.03 = 3,163.80 : x
  2. Step 2: Convert to fraction form
    10,954.38/16,434.03 = 3,163.80/x
  3. Step 3: Cross multiply
    10,954.38x = 16,434.03 × 3,163.80
  4. Step 4: Simplify right side
    10,954.38x = 51,993,984.11
  5. Step 5: Solve for x
    x = 51,993,984.11/10,954.38
  6. Step 6: Final answer
    x = 4,746.41

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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.