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Finding the Fourth Proportional to 7,467.75, 11,201.67 and 2,273.67

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Solution

The fourth proportional to 7,467.75, 11,201.67 and 2,273.67 is: 3,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.75 : 11,201.67 = 2,273.67 : x
  2. Step 2: Convert to fraction form
    7,467.75/11,201.67 = 2,273.67/x
  3. Step 3: Cross multiply
    7,467.75x = 11,201.67 × 2,273.67
  4. Step 4: Simplify right side
    7,467.75x = 25,468,901.03
  5. Step 5: Solve for x
    x = 25,468,901.03/7,467.75
  6. Step 6: Final answer
    x = 3,410.52

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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.