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Finding the Fourth Proportional to 6,760.08, 10,141.20 and 2,142

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Solution

The fourth proportional to 6,760.08, 10,141.20 and 2,142 is: 3,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.08 : 10,141.20 = 2,142 : x
  2. Step 2: Convert to fraction form
    6,760.08/10,141.20 = 2,142/x
  3. Step 3: Cross multiply
    6,760.08x = 10,141.20 × 2,142
  4. Step 4: Simplify right side
    6,760.08x = 21,722,450.40
  5. Step 5: Solve for x
    x = 21,722,450.40/6,760.08
  6. Step 6: Final answer
    x = 3,213.34

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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.