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Finding the Fourth Proportional to 8,525.74, 12,790.24 and 2,680.78

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Solution

The fourth proportional to 8,525.74, 12,790.24 and 2,680.78 is: 4,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.74 : 12,790.24 = 2,680.78 : x
  2. Step 2: Convert to fraction form
    8,525.74/12,790.24 = 2,680.78/x
  3. Step 3: Cross multiply
    8,525.74x = 12,790.24 × 2,680.78
  4. Step 4: Simplify right side
    8,525.74x = 34,287,819.59
  5. Step 5: Solve for x
    x = 34,287,819.59/8,525.74
  6. Step 6: Final answer
    x = 4,021.68

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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.