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Finding the Fourth Proportional to 8,596.26, 12,895.74 and 2,751.57

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Solution

The fourth proportional to 8,596.26, 12,895.74 and 2,751.57 is: 4,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.26 : 12,895.74 = 2,751.57 : x
  2. Step 2: Convert to fraction form
    8,596.26/12,895.74 = 2,751.57/x
  3. Step 3: Cross multiply
    8,596.26x = 12,895.74 × 2,751.57
  4. Step 4: Simplify right side
    8,596.26x = 35,483,531.31
  5. Step 5: Solve for x
    x = 35,483,531.31/8,596.26
  6. Step 6: Final answer
    x = 4,127.79

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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.