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Finding the Fourth Proportional to 6,871.57, 10,306.19 and 1,940.05

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Solution

The fourth proportional to 6,871.57, 10,306.19 and 1,940.05 is: 2,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.57 : 10,306.19 = 1,940.05 : x
  2. Step 2: Convert to fraction form
    6,871.57/10,306.19 = 1,940.05/x
  3. Step 3: Cross multiply
    6,871.57x = 10,306.19 × 1,940.05
  4. Step 4: Simplify right side
    6,871.57x = 19,994,530.73
  5. Step 5: Solve for x
    x = 19,994,530.73/6,871.57
  6. Step 6: Final answer
    x = 2,909.75

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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.