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Finding the Fourth Proportional to 8,131.41, 12,188.74 and 3,199.05

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Solution

The fourth proportional to 8,131.41, 12,188.74 and 3,199.05 is: 4,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.41 : 12,188.74 = 3,199.05 : x
  2. Step 2: Convert to fraction form
    8,131.41/12,188.74 = 3,199.05/x
  3. Step 3: Cross multiply
    8,131.41x = 12,188.74 × 3,199.05
  4. Step 4: Simplify right side
    8,131.41x = 38,992,388.70
  5. Step 5: Solve for x
    x = 38,992,388.70/8,131.41
  6. Step 6: Final answer
    x = 4,795.28

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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.