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Finding the Fourth Proportional to 6,717.73, 10,072.27 and 3,205.84

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Solution

The fourth proportional to 6,717.73, 10,072.27 and 3,205.84 is: 4,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.73 : 10,072.27 = 3,205.84 : x
  2. Step 2: Convert to fraction form
    6,717.73/10,072.27 = 3,205.84/x
  3. Step 3: Cross multiply
    6,717.73x = 10,072.27 × 3,205.84
  4. Step 4: Simplify right side
    6,717.73x = 32,290,086.06
  5. Step 5: Solve for x
    x = 32,290,086.06/6,717.73
  6. Step 6: Final answer
    x = 4,806.70

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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.