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Finding the Fourth Proportional to 11,496.97, 15,865.37 and 7,028.20

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Solution

The fourth proportional to 11,496.97, 15,865.37 and 7,028.20 is: 9,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.97 : 15,865.37 = 7,028.20 : x
  2. Step 2: Convert to fraction form
    11,496.97/15,865.37 = 7,028.20/x
  3. Step 3: Cross multiply
    11,496.97x = 15,865.37 × 7,028.20
  4. Step 4: Simplify right side
    11,496.97x = 111,504,993.43
  5. Step 5: Solve for x
    x = 111,504,993.43/11,496.97
  6. Step 6: Final answer
    x = 9,698.64

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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.