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Finding the Fourth Proportional to 11,843.44, 16,338.82 and 6,806.50

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Solution

The fourth proportional to 11,843.44, 16,338.82 and 6,806.50 is: 9,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.44 : 16,338.82 = 6,806.50 : x
  2. Step 2: Convert to fraction form
    11,843.44/16,338.82 = 6,806.50/x
  3. Step 3: Cross multiply
    11,843.44x = 16,338.82 × 6,806.50
  4. Step 4: Simplify right side
    11,843.44x = 111,210,178.33
  5. Step 5: Solve for x
    x = 111,210,178.33/11,843.44
  6. Step 6: Final answer
    x = 9,390.02

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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.