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Finding the Fourth Proportional to 7,267.36, 10,027.20 and 4,080

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Solution

The fourth proportional to 7,267.36, 10,027.20 and 4,080 is: 5,629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.36 : 10,027.20 = 4,080 : x
  2. Step 2: Convert to fraction form
    7,267.36/10,027.20 = 4,080/x
  3. Step 3: Cross multiply
    7,267.36x = 10,027.20 × 4,080
  4. Step 4: Simplify right side
    7,267.36x = 40,910,976
  5. Step 5: Solve for x
    x = 40,910,976/7,267.36
  6. Step 6: Final answer
    x = 5,629.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.