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Finding the Fourth Proportional to 8,131.62, 12,199.56 and 3,451.80

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Solution

The fourth proportional to 8,131.62, 12,199.56 and 3,451.80 is: 5,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.62 : 12,199.56 = 3,451.80 : x
  2. Step 2: Convert to fraction form
    8,131.62/12,199.56 = 3,451.80/x
  3. Step 3: Cross multiply
    8,131.62x = 12,199.56 × 3,451.80
  4. Step 4: Simplify right side
    8,131.62x = 42,110,441.21
  5. Step 5: Solve for x
    x = 42,110,441.21/8,131.62
  6. Step 6: Final answer
    x = 5,178.60

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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.