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Finding the Fourth Proportional to 8,616.98, 12,917.26 and 2,769.50

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Solution

The fourth proportional to 8,616.98, 12,917.26 and 2,769.50 is: 4,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.98 : 12,917.26 = 2,769.50 : x
  2. Step 2: Convert to fraction form
    8,616.98/12,917.26 = 2,769.50/x
  3. Step 3: Cross multiply
    8,616.98x = 12,917.26 × 2,769.50
  4. Step 4: Simplify right side
    8,616.98x = 35,774,351.57
  5. Step 5: Solve for x
    x = 35,774,351.57/8,616.98
  6. Step 6: Final answer
    x = 4,151.61

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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.