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Finding the Fourth Proportional to 11,806.79, 16,288.97 and 6,767.57

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Solution

The fourth proportional to 11,806.79, 16,288.97 and 6,767.57 is: 9,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.79 : 16,288.97 = 6,767.57 : x
  2. Step 2: Convert to fraction form
    11,806.79/16,288.97 = 6,767.57/x
  3. Step 3: Cross multiply
    11,806.79x = 16,288.97 × 6,767.57
  4. Step 4: Simplify right side
    11,806.79x = 110,236,751.59
  5. Step 5: Solve for x
    x = 110,236,751.59/11,806.79
  6. Step 6: Final answer
    x = 9,336.73

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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.