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Finding the Fourth Proportional to 6,855.96, 10,279.62 and 5,816.33

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Solution

The fourth proportional to 6,855.96, 10,279.62 and 5,816.33 is: 8,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.96 : 10,279.62 = 5,816.33 : x
  2. Step 2: Convert to fraction form
    6,855.96/10,279.62 = 5,816.33/x
  3. Step 3: Cross multiply
    6,855.96x = 10,279.62 × 5,816.33
  4. Step 4: Simplify right side
    6,855.96x = 59,789,610.80
  5. Step 5: Solve for x
    x = 59,789,610.80/6,855.96
  6. Step 6: Final answer
    x = 8,720.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.