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Finding the Fourth Proportional to 11,843.97, 16,344.42 and 6,466.23

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Solution

The fourth proportional to 11,843.97, 16,344.42 and 6,466.23 is: 8,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.97 : 16,344.42 = 6,466.23 : x
  2. Step 2: Convert to fraction form
    11,843.97/16,344.42 = 6,466.23/x
  3. Step 3: Cross multiply
    11,843.97x = 16,344.42 × 6,466.23
  4. Step 4: Simplify right side
    11,843.97x = 105,686,778.94
  5. Step 5: Solve for x
    x = 105,686,778.94/11,843.97
  6. Step 6: Final answer
    x = 8,923.26

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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.