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Finding the Fourth Proportional to 7,178.80, 9,906.96 and 4,196.80

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Solution

The fourth proportional to 7,178.80, 9,906.96 and 4,196.80 is: 5,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.80 : 9,906.96 = 4,196.80 : x
  2. Step 2: Convert to fraction form
    7,178.80/9,906.96 = 4,196.80/x
  3. Step 3: Cross multiply
    7,178.80x = 9,906.96 × 4,196.80
  4. Step 4: Simplify right side
    7,178.80x = 41,577,529.73
  5. Step 5: Solve for x
    x = 41,577,529.73/7,178.80
  6. Step 6: Final answer
    x = 5,791.71

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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.