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Finding the Fourth Proportional to 11,940.81, 16,475.99 and 8,159.73

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Solution

The fourth proportional to 11,940.81, 16,475.99 and 8,159.73 is: 11,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.81 : 16,475.99 = 8,159.73 : x
  2. Step 2: Convert to fraction form
    11,940.81/16,475.99 = 8,159.73/x
  3. Step 3: Cross multiply
    11,940.81x = 16,475.99 × 8,159.73
  4. Step 4: Simplify right side
    11,940.81x = 134,439,589.08
  5. Step 5: Solve for x
    x = 134,439,589.08/11,940.81
  6. Step 6: Final answer
    x = 11,258.83

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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.