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Finding the Fourth Proportional to 11,643.65, 16,067.67 and 6,608.33

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Solution

The fourth proportional to 11,643.65, 16,067.67 and 6,608.33 is: 9,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.65 : 16,067.67 = 6,608.33 : x
  2. Step 2: Convert to fraction form
    11,643.65/16,067.67 = 6,608.33/x
  3. Step 3: Cross multiply
    11,643.65x = 16,067.67 × 6,608.33
  4. Step 4: Simplify right side
    11,643.65x = 106,180,511.21
  5. Step 5: Solve for x
    x = 106,180,511.21/11,643.65
  6. Step 6: Final answer
    x = 9,119.18

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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.