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Finding the Fourth Proportional to 6,811.32, 10,167.27 and 5,843.64

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Solution

The fourth proportional to 6,811.32, 10,167.27 and 5,843.64 is: 8,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.32 : 10,167.27 = 5,843.64 : x
  2. Step 2: Convert to fraction form
    6,811.32/10,167.27 = 5,843.64/x
  3. Step 3: Cross multiply
    6,811.32x = 10,167.27 × 5,843.64
  4. Step 4: Simplify right side
    6,811.32x = 59,413,865.66
  5. Step 5: Solve for x
    x = 59,413,865.66/6,811.32
  6. Step 6: Final answer
    x = 8,722.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.