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Finding the Fourth Proportional to 6,704.71, 10,057.34 and 2,262.85

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Solution

The fourth proportional to 6,704.71, 10,057.34 and 2,262.85 is: 3,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.71 : 10,057.34 = 2,262.85 : x
  2. Step 2: Convert to fraction form
    6,704.71/10,057.34 = 2,262.85/x
  3. Step 3: Cross multiply
    6,704.71x = 10,057.34 × 2,262.85
  4. Step 4: Simplify right side
    6,704.71x = 22,758,251.82
  5. Step 5: Solve for x
    x = 22,758,251.82/6,704.71
  6. Step 6: Final answer
    x = 3,394.37

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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.