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Finding the Fourth Proportional to 8,297.99, 12,448.20 and 3,033.26

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Solution

The fourth proportional to 8,297.99, 12,448.20 and 3,033.26 is: 4,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.99 : 12,448.20 = 3,033.26 : x
  2. Step 2: Convert to fraction form
    8,297.99/12,448.20 = 3,033.26/x
  3. Step 3: Cross multiply
    8,297.99x = 12,448.20 × 3,033.26
  4. Step 4: Simplify right side
    8,297.99x = 37,758,627.13
  5. Step 5: Solve for x
    x = 37,758,627.13/8,297.99
  6. Step 6: Final answer
    x = 4,550.33

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Why These Related Problems?

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