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Finding the Fourth Proportional to 11,998.64, 17,997.12 and 4,208

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Solution

The fourth proportional to 11,998.64, 17,997.12 and 4,208 is: 6,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.64 : 17,997.12 = 4,208 : x
  2. Step 2: Convert to fraction form
    11,998.64/17,997.12 = 4,208/x
  3. Step 3: Cross multiply
    11,998.64x = 17,997.12 × 4,208
  4. Step 4: Simplify right side
    11,998.64x = 75,731,880.96
  5. Step 5: Solve for x
    x = 75,731,880.96/11,998.64
  6. Step 6: Final answer
    x = 6,311.71

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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.