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Finding the Fourth Proportional to 8,131.67, 12,197.30 and 3,749.12

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Solution

The fourth proportional to 8,131.67, 12,197.30 and 3,749.12 is: 5,623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.67 : 12,197.30 = 3,749.12 : x
  2. Step 2: Convert to fraction form
    8,131.67/12,197.30 = 3,749.12/x
  3. Step 3: Cross multiply
    8,131.67x = 12,197.30 × 3,749.12
  4. Step 4: Simplify right side
    8,131.67x = 45,729,061.64
  5. Step 5: Solve for x
    x = 45,729,061.64/8,131.67
  6. Step 6: Final answer
    x = 5,623.58

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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.