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Finding the Fourth Proportional to 7,474.36, 11,211.90 and 2,857

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Solution

The fourth proportional to 7,474.36, 11,211.90 and 2,857 is: 4,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.36 : 11,211.90 = 2,857 : x
  2. Step 2: Convert to fraction form
    7,474.36/11,211.90 = 2,857/x
  3. Step 3: Cross multiply
    7,474.36x = 11,211.90 × 2,857
  4. Step 4: Simplify right side
    7,474.36x = 32,032,398.30
  5. Step 5: Solve for x
    x = 32,032,398.30/7,474.36
  6. Step 6: Final answer
    x = 4,285.64

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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.