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Finding the Fourth Proportional to 7,201.72, 10,809.30 and 3,694.36

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Solution

The fourth proportional to 7,201.72, 10,809.30 and 3,694.36 is: 5,544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.72 : 10,809.30 = 3,694.36 : x
  2. Step 2: Convert to fraction form
    7,201.72/10,809.30 = 3,694.36/x
  3. Step 3: Cross multiply
    7,201.72x = 10,809.30 × 3,694.36
  4. Step 4: Simplify right side
    7,201.72x = 39,933,445.55
  5. Step 5: Solve for x
    x = 39,933,445.55/7,201.72
  6. Step 6: Final answer
    x = 5,544.99

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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.