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Finding the Fourth Proportional to 6,785.08, 10,164.78 and 4,003.49

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Solution

The fourth proportional to 6,785.08, 10,164.78 and 4,003.49 is: 5,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.08 : 10,164.78 = 4,003.49 : x
  2. Step 2: Convert to fraction form
    6,785.08/10,164.78 = 4,003.49/x
  3. Step 3: Cross multiply
    6,785.08x = 10,164.78 × 4,003.49
  4. Step 4: Simplify right side
    6,785.08x = 40,694,620.49
  5. Step 5: Solve for x
    x = 40,694,620.49/6,785.08
  6. Step 6: Final answer
    x = 5,997.66

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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.