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Finding the Fourth Proportional to 8,109.77, 12,165.74 and 2,843.56

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Solution

The fourth proportional to 8,109.77, 12,165.74 and 2,843.56 is: 4,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.77 : 12,165.74 = 2,843.56 : x
  2. Step 2: Convert to fraction form
    8,109.77/12,165.74 = 2,843.56/x
  3. Step 3: Cross multiply
    8,109.77x = 12,165.74 × 2,843.56
  4. Step 4: Simplify right side
    8,109.77x = 34,593,970.85
  5. Step 5: Solve for x
    x = 34,593,970.85/8,109.77
  6. Step 6: Final answer
    x = 4,265.72

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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.