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Finding the Fourth Proportional to 8,297.27, 12,448.22 and 3,617.69

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Solution

The fourth proportional to 8,297.27, 12,448.22 and 3,617.69 is: 5,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.27 : 12,448.22 = 3,617.69 : x
  2. Step 2: Convert to fraction form
    8,297.27/12,448.22 = 3,617.69/x
  3. Step 3: Cross multiply
    8,297.27x = 12,448.22 × 3,617.69
  4. Step 4: Simplify right side
    8,297.27x = 45,033,798.90
  5. Step 5: Solve for x
    x = 45,033,798.90/8,297.27
  6. Step 6: Final answer
    x = 5,427.54

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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.