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Finding the Fourth Proportional to 11,157.36, 16,724.52 and 4,227

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Solution

The fourth proportional to 11,157.36, 16,724.52 and 4,227 is: 6,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.36 : 16,724.52 = 4,227 : x
  2. Step 2: Convert to fraction form
    11,157.36/16,724.52 = 4,227/x
  3. Step 3: Cross multiply
    11,157.36x = 16,724.52 × 4,227
  4. Step 4: Simplify right side
    11,157.36x = 70,694,546.04
  5. Step 5: Solve for x
    x = 70,694,546.04/11,157.36
  6. Step 6: Final answer
    x = 6,336.14

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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.