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Finding the Fourth Proportional to 8,181.84, 12,265.92 and 3,797.04

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Solution

The fourth proportional to 8,181.84, 12,265.92 and 3,797.04 is: 5,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.84 : 12,265.92 = 3,797.04 : x
  2. Step 2: Convert to fraction form
    8,181.84/12,265.92 = 3,797.04/x
  3. Step 3: Cross multiply
    8,181.84x = 12,265.92 × 3,797.04
  4. Step 4: Simplify right side
    8,181.84x = 46,574,188.88
  5. Step 5: Solve for x
    x = 46,574,188.88/8,181.84
  6. Step 6: Final answer
    x = 5,692.39

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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.