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Finding the Fourth Proportional to 8,297.26, 11,450.20 and 4,571.26

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Solution

The fourth proportional to 8,297.26, 11,450.20 and 4,571.26 is: 6,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.26 : 11,450.20 = 4,571.26 : x
  2. Step 2: Convert to fraction form
    8,297.26/11,450.20 = 4,571.26/x
  3. Step 3: Cross multiply
    8,297.26x = 11,450.20 × 4,571.26
  4. Step 4: Simplify right side
    8,297.26x = 52,341,841.25
  5. Step 5: Solve for x
    x = 52,341,841.25/8,297.26
  6. Step 6: Final answer
    x = 6,308.33

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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.