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Finding the Fourth Proportional to 8,114.96, 12,172.32 and 4,163.94

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Solution

The fourth proportional to 8,114.96, 12,172.32 and 4,163.94 is: 6,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.96 : 12,172.32 = 4,163.94 : x
  2. Step 2: Convert to fraction form
    8,114.96/12,172.32 = 4,163.94/x
  3. Step 3: Cross multiply
    8,114.96x = 12,172.32 × 4,163.94
  4. Step 4: Simplify right side
    8,114.96x = 50,684,832.89
  5. Step 5: Solve for x
    x = 50,684,832.89/8,114.96
  6. Step 6: Final answer
    x = 6,245.85

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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.