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Finding the Fourth Proportional to 10,964.75, 16,447.17 and 2,756.75

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Solution

The fourth proportional to 10,964.75, 16,447.17 and 2,756.75 is: 4,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.75 : 16,447.17 = 2,756.75 : x
  2. Step 2: Convert to fraction form
    10,964.75/16,447.17 = 2,756.75/x
  3. Step 3: Cross multiply
    10,964.75x = 16,447.17 × 2,756.75
  4. Step 4: Simplify right side
    10,964.75x = 45,340,735.90
  5. Step 5: Solve for x
    x = 45,340,735.90/10,964.75
  6. Step 6: Final answer
    x = 4,135.14

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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.