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Finding the Fourth Proportional to 8,227.58, 12,313.72 and 6,843.69

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Solution

The fourth proportional to 8,227.58, 12,313.72 and 6,843.69 is: 10,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.58 : 12,313.72 = 6,843.69 : x
  2. Step 2: Convert to fraction form
    8,227.58/12,313.72 = 6,843.69/x
  3. Step 3: Cross multiply
    8,227.58x = 12,313.72 × 6,843.69
  4. Step 4: Simplify right side
    8,227.58x = 84,271,290.98
  5. Step 5: Solve for x
    x = 84,271,290.98/8,227.58
  6. Step 6: Final answer
    x = 10,242.54

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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.