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Finding the Fourth Proportional to 6,760.14, 10,141.80 and 2,143.14

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Solution

The fourth proportional to 6,760.14, 10,141.80 and 2,143.14 is: 3,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.14 : 10,141.80 = 2,143.14 : x
  2. Step 2: Convert to fraction form
    6,760.14/10,141.80 = 2,143.14/x
  3. Step 3: Cross multiply
    6,760.14x = 10,141.80 × 2,143.14
  4. Step 4: Simplify right side
    6,760.14x = 21,735,297.25
  5. Step 5: Solve for x
    x = 21,735,297.25/6,760.14
  6. Step 6: Final answer
    x = 3,215.21

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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.