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Finding the Fourth Proportional to 8,190.97, 11,297.15 and 5,674.03

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Solution

The fourth proportional to 8,190.97, 11,297.15 and 5,674.03 is: 7,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.97 : 11,297.15 = 5,674.03 : x
  2. Step 2: Convert to fraction form
    8,190.97/11,297.15 = 5,674.03/x
  3. Step 3: Cross multiply
    8,190.97x = 11,297.15 × 5,674.03
  4. Step 4: Simplify right side
    8,190.97x = 64,100,339.64
  5. Step 5: Solve for x
    x = 64,100,339.64/8,190.97
  6. Step 6: Final answer
    x = 7,825.73

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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.