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Finding the Fourth Proportional to 8,131.85, 12,197.58 and 3,749.31

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Solution

The fourth proportional to 8,131.85, 12,197.58 and 3,749.31 is: 5,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.85 : 12,197.58 = 3,749.31 : x
  2. Step 2: Convert to fraction form
    8,131.85/12,197.58 = 3,749.31/x
  3. Step 3: Cross multiply
    8,131.85x = 12,197.58 × 3,749.31
  4. Step 4: Simplify right side
    8,131.85x = 45,732,494.61
  5. Step 5: Solve for x
    x = 45,732,494.61/8,131.85
  6. Step 6: Final answer
    x = 5,623.87

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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.