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Finding the Fourth Proportional to 6,826.73, 10,240.07 and 2,147.14

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Solution

The fourth proportional to 6,826.73, 10,240.07 and 2,147.14 is: 3,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.73 : 10,240.07 = 2,147.14 : x
  2. Step 2: Convert to fraction form
    6,826.73/10,240.07 = 2,147.14/x
  3. Step 3: Cross multiply
    6,826.73x = 10,240.07 × 2,147.14
  4. Step 4: Simplify right side
    6,826.73x = 21,986,843.67
  5. Step 5: Solve for x
    x = 21,986,843.67/6,826.73
  6. Step 6: Final answer
    x = 3,220.70

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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.