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Finding the Fourth Proportional to 6,782.87, 10,175.86 and 2,622.91

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Solution

The fourth proportional to 6,782.87, 10,175.86 and 2,622.91 is: 3,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.87 : 10,175.86 = 2,622.91 : x
  2. Step 2: Convert to fraction form
    6,782.87/10,175.86 = 2,622.91/x
  3. Step 3: Cross multiply
    6,782.87x = 10,175.86 × 2,622.91
  4. Step 4: Simplify right side
    6,782.87x = 26,690,351.84
  5. Step 5: Solve for x
    x = 26,690,351.84/6,782.87
  6. Step 6: Final answer
    x = 3,934.96

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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.