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Finding the Fourth Proportional to 6,785.54, 10,179.90 and 2,105.31

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Solution

The fourth proportional to 6,785.54, 10,179.90 and 2,105.31 is: 3,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.54 : 10,179.90 = 2,105.31 : x
  2. Step 2: Convert to fraction form
    6,785.54/10,179.90 = 2,105.31/x
  3. Step 3: Cross multiply
    6,785.54x = 10,179.90 × 2,105.31
  4. Step 4: Simplify right side
    6,785.54x = 21,431,845.27
  5. Step 5: Solve for x
    x = 21,431,845.27/6,785.54
  6. Step 6: Final answer
    x = 3,158.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.