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Finding the Fourth Proportional to 8,184.97, 12,282.83 and 4,489.80

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Solution

The fourth proportional to 8,184.97, 12,282.83 and 4,489.80 is: 6,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.97 : 12,282.83 = 4,489.80 : x
  2. Step 2: Convert to fraction form
    8,184.97/12,282.83 = 4,489.80/x
  3. Step 3: Cross multiply
    8,184.97x = 12,282.83 × 4,489.80
  4. Step 4: Simplify right side
    8,184.97x = 55,147,399.94
  5. Step 5: Solve for x
    x = 55,147,399.94/8,184.97
  6. Step 6: Final answer
    x = 6,737.64

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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.