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Finding the Fourth Proportional to 7,178.78, 9,906.55 and 4,195.35

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Solution

The fourth proportional to 7,178.78, 9,906.55 and 4,195.35 is: 5,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.78 : 9,906.55 = 4,195.35 : x
  2. Step 2: Convert to fraction form
    7,178.78/9,906.55 = 4,195.35/x
  3. Step 3: Cross multiply
    7,178.78x = 9,906.55 × 4,195.35
  4. Step 4: Simplify right side
    7,178.78x = 41,561,444.54
  5. Step 5: Solve for x
    x = 41,561,444.54/7,178.78
  6. Step 6: Final answer
    x = 5,789.49

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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.