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Finding the Fourth Proportional to 11,843.12, 16,344.46 and 6,808.16

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Solution

The fourth proportional to 11,843.12, 16,344.46 and 6,808.16 is: 9,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.12 : 16,344.46 = 6,808.16 : x
  2. Step 2: Convert to fraction form
    11,843.12/16,344.46 = 6,808.16/x
  3. Step 3: Cross multiply
    11,843.12x = 16,344.46 × 6,808.16
  4. Step 4: Simplify right side
    11,843.12x = 111,275,698.79
  5. Step 5: Solve for x
    x = 111,275,698.79/11,843.12
  6. Step 6: Final answer
    x = 9,395.81

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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.