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Finding the Fourth Proportional to 6,902.82, 10,351.50 and 3,618.68

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Solution

The fourth proportional to 6,902.82, 10,351.50 and 3,618.68 is: 5,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.82 : 10,351.50 = 3,618.68 : x
  2. Step 2: Convert to fraction form
    6,902.82/10,351.50 = 3,618.68/x
  3. Step 3: Cross multiply
    6,902.82x = 10,351.50 × 3,618.68
  4. Step 4: Simplify right side
    6,902.82x = 37,458,700.69
  5. Step 5: Solve for x
    x = 37,458,700.69/6,902.82
  6. Step 6: Final answer
    x = 5,426.58

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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.