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Finding the Fourth Proportional to 6,825.39, 10,238.03 and 2,145.39

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Solution

The fourth proportional to 6,825.39, 10,238.03 and 2,145.39 is: 3,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.39 : 10,238.03 = 2,145.39 : x
  2. Step 2: Convert to fraction form
    6,825.39/10,238.03 = 2,145.39/x
  3. Step 3: Cross multiply
    6,825.39x = 10,238.03 × 2,145.39
  4. Step 4: Simplify right side
    6,825.39x = 21,964,556.45
  5. Step 5: Solve for x
    x = 21,964,556.45/6,825.39
  6. Step 6: Final answer
    x = 3,218.07

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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.