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Finding the Fourth Proportional to 7,197.87, 10,796.75 and 2,267.88

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Solution

The fourth proportional to 7,197.87, 10,796.75 and 2,267.88 is: 3,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.87 : 10,796.75 = 2,267.88 : x
  2. Step 2: Convert to fraction form
    7,197.87/10,796.75 = 2,267.88/x
  3. Step 3: Cross multiply
    7,197.87x = 10,796.75 × 2,267.88
  4. Step 4: Simplify right side
    7,197.87x = 24,485,722.05
  5. Step 5: Solve for x
    x = 24,485,722.05/7,197.87
  6. Step 6: Final answer
    x = 3,401.80

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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.