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Finding the Fourth Proportional to 6,872.65, 10,309.73 and 2,191.57

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Solution

The fourth proportional to 6,872.65, 10,309.73 and 2,191.57 is: 3,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.65 : 10,309.73 = 2,191.57 : x
  2. Step 2: Convert to fraction form
    6,872.65/10,309.73 = 2,191.57/x
  3. Step 3: Cross multiply
    6,872.65x = 10,309.73 × 2,191.57
  4. Step 4: Simplify right side
    6,872.65x = 22,594,494.98
  5. Step 5: Solve for x
    x = 22,594,494.98/6,872.65
  6. Step 6: Final answer
    x = 3,287.60

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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.