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Finding the Fourth Proportional to 6,841.97, 10,282.19 and 4,069.14

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Solution

The fourth proportional to 6,841.97, 10,282.19 and 4,069.14 is: 6,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.97 : 10,282.19 = 4,069.14 : x
  2. Step 2: Convert to fraction form
    6,841.97/10,282.19 = 4,069.14/x
  3. Step 3: Cross multiply
    6,841.97x = 10,282.19 × 4,069.14
  4. Step 4: Simplify right side
    6,841.97x = 41,839,650.27
  5. Step 5: Solve for x
    x = 41,839,650.27/6,841.97
  6. Step 6: Final answer
    x = 6,115.14

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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.