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Finding the Fourth Proportional to 8,297.44, 12,449.99 and 3,852.26

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Solution

The fourth proportional to 8,297.44, 12,449.99 and 3,852.26 is: 5,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.44 : 12,449.99 = 3,852.26 : x
  2. Step 2: Convert to fraction form
    8,297.44/12,449.99 = 3,852.26/x
  3. Step 3: Cross multiply
    8,297.44x = 12,449.99 × 3,852.26
  4. Step 4: Simplify right side
    8,297.44x = 47,960,570.88
  5. Step 5: Solve for x
    x = 47,960,570.88/8,297.44
  6. Step 6: Final answer
    x = 5,780.17

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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.