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Finding the Fourth Proportional to 8,181.63, 12,269.70 and 3,249.95

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Solution

The fourth proportional to 8,181.63, 12,269.70 and 3,249.95 is: 4,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.63 : 12,269.70 = 3,249.95 : x
  2. Step 2: Convert to fraction form
    8,181.63/12,269.70 = 3,249.95/x
  3. Step 3: Cross multiply
    8,181.63x = 12,269.70 × 3,249.95
  4. Step 4: Simplify right side
    8,181.63x = 39,875,850.17
  5. Step 5: Solve for x
    x = 39,875,850.17/8,181.63
  6. Step 6: Final answer
    x = 4,873.83

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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.