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Finding the Fourth Proportional to 11,806.80, 16,292.88 and 6,767.51

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Solution

The fourth proportional to 11,806.80, 16,292.88 and 6,767.51 is: 9,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.80 : 16,292.88 = 6,767.51 : x
  2. Step 2: Convert to fraction form
    11,806.80/16,292.88 = 6,767.51/x
  3. Step 3: Cross multiply
    11,806.80x = 16,292.88 × 6,767.51
  4. Step 4: Simplify right side
    11,806.80x = 110,262,146.86
  5. Step 5: Solve for x
    x = 110,262,146.86/11,806.80
  6. Step 6: Final answer
    x = 9,338.87

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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.