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Finding the Fourth Proportional to 7,167.62, 10,749.11 and 4,969.69

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Solution

The fourth proportional to 7,167.62, 10,749.11 and 4,969.69 is: 7,452.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.62 : 10,749.11 = 4,969.69 : x
  2. Step 2: Convert to fraction form
    7,167.62/10,749.11 = 4,969.69/x
  3. Step 3: Cross multiply
    7,167.62x = 10,749.11 × 4,969.69
  4. Step 4: Simplify right side
    7,167.62x = 53,419,692.75
  5. Step 5: Solve for x
    x = 53,419,692.75/7,167.62
  6. Step 6: Final answer
    x = 7,452.92

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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.