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Finding the Fourth Proportional to 6,841.80, 10,265.40 and 2,681.10

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Solution

The fourth proportional to 6,841.80, 10,265.40 and 2,681.10 is: 4,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.80 : 10,265.40 = 2,681.10 : x
  2. Step 2: Convert to fraction form
    6,841.80/10,265.40 = 2,681.10/x
  3. Step 3: Cross multiply
    6,841.80x = 10,265.40 × 2,681.10
  4. Step 4: Simplify right side
    6,841.80x = 27,522,563.94
  5. Step 5: Solve for x
    x = 27,522,563.94/6,841.80
  6. Step 6: Final answer
    x = 4,022.71

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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.