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Finding the Fourth Proportional to 11,844.56, 16,344.62 and 6,808.78

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Solution

The fourth proportional to 11,844.56, 16,344.62 and 6,808.78 is: 9,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.56 : 16,344.62 = 6,808.78 : x
  2. Step 2: Convert to fraction form
    11,844.56/16,344.62 = 6,808.78/x
  3. Step 3: Cross multiply
    11,844.56x = 16,344.62 × 6,808.78
  4. Step 4: Simplify right side
    11,844.56x = 111,286,921.76
  5. Step 5: Solve for x
    x = 111,286,921.76/11,844.56
  6. Step 6: Final answer
    x = 9,395.61

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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.