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Finding the Fourth Proportional to 8,166.77, 12,249.49 and 2,618.62

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Solution

The fourth proportional to 8,166.77, 12,249.49 and 2,618.62 is: 3,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.77 : 12,249.49 = 2,618.62 : x
  2. Step 2: Convert to fraction form
    8,166.77/12,249.49 = 2,618.62/x
  3. Step 3: Cross multiply
    8,166.77x = 12,249.49 × 2,618.62
  4. Step 4: Simplify right side
    8,166.77x = 32,076,759.50
  5. Step 5: Solve for x
    x = 32,076,759.50/8,166.77
  6. Step 6: Final answer
    x = 3,927.72

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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.