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Finding the Fourth Proportional to 6,727.46, 10,091.21 and 2,110.46

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Solution

The fourth proportional to 6,727.46, 10,091.21 and 2,110.46 is: 3,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.46 : 10,091.21 = 2,110.46 : x
  2. Step 2: Convert to fraction form
    6,727.46/10,091.21 = 2,110.46/x
  3. Step 3: Cross multiply
    6,727.46x = 10,091.21 × 2,110.46
  4. Step 4: Simplify right side
    6,727.46x = 21,297,034.05
  5. Step 5: Solve for x
    x = 21,297,034.05/6,727.46
  6. Step 6: Final answer
    x = 3,165.69

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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.