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Finding the Fourth Proportional to 8,179.82, 12,269.49 and 2,633.12

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Solution

The fourth proportional to 8,179.82, 12,269.49 and 2,633.12 is: 3,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.82 : 12,269.49 = 2,633.12 : x
  2. Step 2: Convert to fraction form
    8,179.82/12,269.49 = 2,633.12/x
  3. Step 3: Cross multiply
    8,179.82x = 12,269.49 × 2,633.12
  4. Step 4: Simplify right side
    8,179.82x = 32,307,039.51
  5. Step 5: Solve for x
    x = 32,307,039.51/8,179.82
  6. Step 6: Final answer
    x = 3,949.60

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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.