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Finding the Fourth Proportional to 6,940.80, 10,411.40 and 2,010.65

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Solution

The fourth proportional to 6,940.80, 10,411.40 and 2,010.65 is: 3,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.80 : 10,411.40 = 2,010.65 : x
  2. Step 2: Convert to fraction form
    6,940.80/10,411.40 = 2,010.65/x
  3. Step 3: Cross multiply
    6,940.80x = 10,411.40 × 2,010.65
  4. Step 4: Simplify right side
    6,940.80x = 20,933,634.38
  5. Step 5: Solve for x
    x = 20,933,634.38/6,940.80
  6. Step 6: Final answer
    x = 3,016.03

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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.