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Finding the Fourth Proportional to 8,596.74, 12,896.74 and 2,751.78

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Solution

The fourth proportional to 8,596.74, 12,896.74 and 2,751.78 is: 4,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.74 : 12,896.74 = 2,751.78 : x
  2. Step 2: Convert to fraction form
    8,596.74/12,896.74 = 2,751.78/x
  3. Step 3: Cross multiply
    8,596.74x = 12,896.74 × 2,751.78
  4. Step 4: Simplify right side
    8,596.74x = 35,488,991.20
  5. Step 5: Solve for x
    x = 35,488,991.20/8,596.74
  6. Step 6: Final answer
    x = 4,128.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.