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Finding the Fourth Proportional to 12,105.73, 16,705.88 and 6,727.99

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Solution

The fourth proportional to 12,105.73, 16,705.88 and 6,727.99 is: 9,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.73 : 16,705.88 = 6,727.99 : x
  2. Step 2: Convert to fraction form
    12,105.73/16,705.88 = 6,727.99/x
  3. Step 3: Cross multiply
    12,105.73x = 16,705.88 × 6,727.99
  4. Step 4: Simplify right side
    12,105.73x = 112,396,993.58
  5. Step 5: Solve for x
    x = 112,396,993.58/12,105.73
  6. Step 6: Final answer
    x = 9,284.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.