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Finding the Fourth Proportional to 7,467.14, 11,201.31 and 2,273.01

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Solution

The fourth proportional to 7,467.14, 11,201.31 and 2,273.01 is: 3,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.14 : 11,201.31 = 2,273.01 : x
  2. Step 2: Convert to fraction form
    7,467.14/11,201.31 = 2,273.01/x
  3. Step 3: Cross multiply
    7,467.14x = 11,201.31 × 2,273.01
  4. Step 4: Simplify right side
    7,467.14x = 25,460,689.64
  5. Step 5: Solve for x
    x = 25,460,689.64/7,467.14
  6. Step 6: Final answer
    x = 3,409.70

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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.