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Finding the Fourth Proportional to 8,197.96, 11,313.22 and 4,472.04

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Solution

The fourth proportional to 8,197.96, 11,313.22 and 4,472.04 is: 6,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.96 : 11,313.22 = 4,472.04 : x
  2. Step 2: Convert to fraction form
    8,197.96/11,313.22 = 4,472.04/x
  3. Step 3: Cross multiply
    8,197.96x = 11,313.22 × 4,472.04
  4. Step 4: Simplify right side
    8,197.96x = 50,593,172.37
  5. Step 5: Solve for x
    x = 50,593,172.37/8,197.96
  6. Step 6: Final answer
    x = 6,171.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.