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Finding the Fourth Proportional to 8,131.84, 12,195.71 and 3,450.45

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Solution

The fourth proportional to 8,131.84, 12,195.71 and 3,450.45 is: 5,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.84 : 12,195.71 = 3,450.45 : x
  2. Step 2: Convert to fraction form
    8,131.84/12,195.71 = 3,450.45/x
  3. Step 3: Cross multiply
    8,131.84x = 12,195.71 × 3,450.45
  4. Step 4: Simplify right side
    8,131.84x = 42,080,679.80
  5. Step 5: Solve for x
    x = 42,080,679.80/8,131.84
  6. Step 6: Final answer
    x = 5,174.80

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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.