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Finding the Fourth Proportional to 6,847.65, 10,267.50 and 2,682.78

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Solution

The fourth proportional to 6,847.65, 10,267.50 and 2,682.78 is: 4,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.65 : 10,267.50 = 2,682.78 : x
  2. Step 2: Convert to fraction form
    6,847.65/10,267.50 = 2,682.78/x
  3. Step 3: Cross multiply
    6,847.65x = 10,267.50 × 2,682.78
  4. Step 4: Simplify right side
    6,847.65x = 27,545,443.65
  5. Step 5: Solve for x
    x = 27,545,443.65/6,847.65
  6. Step 6: Final answer
    x = 4,022.61

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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.