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Finding the Fourth Proportional to 8,226.82, 11,350.20 and 4,687.48

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Solution

The fourth proportional to 8,226.82, 11,350.20 and 4,687.48 is: 6,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.82 : 11,350.20 = 4,687.48 : x
  2. Step 2: Convert to fraction form
    8,226.82/11,350.20 = 4,687.48/x
  3. Step 3: Cross multiply
    8,226.82x = 11,350.20 × 4,687.48
  4. Step 4: Simplify right side
    8,226.82x = 53,203,835.50
  5. Step 5: Solve for x
    x = 53,203,835.50/8,226.82
  6. Step 6: Final answer
    x = 6,467.12

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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.