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Finding the Fourth Proportional to 8,309.44, 12,464.24 and 5,704.48

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Solution

The fourth proportional to 8,309.44, 12,464.24 and 5,704.48 is: 8,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.44 : 12,464.24 = 5,704.48 : x
  2. Step 2: Convert to fraction form
    8,309.44/12,464.24 = 5,704.48/x
  3. Step 3: Cross multiply
    8,309.44x = 12,464.24 × 5,704.48
  4. Step 4: Simplify right side
    8,309.44x = 71,102,007.80
  5. Step 5: Solve for x
    x = 71,102,007.80/8,309.44
  6. Step 6: Final answer
    x = 8,556.77

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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.