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Finding the Fourth Proportional to 6,820.36, 10,230.18 and 2,203

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Solution

The fourth proportional to 6,820.36, 10,230.18 and 2,203 is: 3,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.36 : 10,230.18 = 2,203 : x
  2. Step 2: Convert to fraction form
    6,820.36/10,230.18 = 2,203/x
  3. Step 3: Cross multiply
    6,820.36x = 10,230.18 × 2,203
  4. Step 4: Simplify right side
    6,820.36x = 22,537,086.54
  5. Step 5: Solve for x
    x = 22,537,086.54/6,820.36
  6. Step 6: Final answer
    x = 3,304.38

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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.