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Finding the Fourth Proportional to 8,115.66, 12,172.95 and 3,186.14

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Solution

The fourth proportional to 8,115.66, 12,172.95 and 3,186.14 is: 4,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.66 : 12,172.95 = 3,186.14 : x
  2. Step 2: Convert to fraction form
    8,115.66/12,172.95 = 3,186.14/x
  3. Step 3: Cross multiply
    8,115.66x = 12,172.95 × 3,186.14
  4. Step 4: Simplify right side
    8,115.66x = 38,784,662.05
  5. Step 5: Solve for x
    x = 38,784,662.05/8,115.66
  6. Step 6: Final answer
    x = 4,778.99

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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.