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Finding the Fourth Proportional to 6,785.25, 10,178.07 and 2,168.25

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Solution

The fourth proportional to 6,785.25, 10,178.07 and 2,168.25 is: 3,252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.25 : 10,178.07 = 2,168.25 : x
  2. Step 2: Convert to fraction form
    6,785.25/10,178.07 = 2,168.25/x
  3. Step 3: Cross multiply
    6,785.25x = 10,178.07 × 2,168.25
  4. Step 4: Simplify right side
    6,785.25x = 22,068,600.28
  5. Step 5: Solve for x
    x = 22,068,600.28/6,785.25
  6. Step 6: Final answer
    x = 3,252.44

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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.