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Finding the Fourth Proportional to 7,351.94, 11,027.70 and 2,969.24

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Solution

The fourth proportional to 7,351.94, 11,027.70 and 2,969.24 is: 4,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.94 : 11,027.70 = 2,969.24 : x
  2. Step 2: Convert to fraction form
    7,351.94/11,027.70 = 2,969.24/x
  3. Step 3: Cross multiply
    7,351.94x = 11,027.70 × 2,969.24
  4. Step 4: Simplify right side
    7,351.94x = 32,743,887.95
  5. Step 5: Solve for x
    x = 32,743,887.95/7,351.94
  6. Step 6: Final answer
    x = 4,453.78

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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.