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Finding the Fourth Proportional to 6,843.38, 10,267.80 and 2,461.16

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Solution

The fourth proportional to 6,843.38, 10,267.80 and 2,461.16 is: 3,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.38 : 10,267.80 = 2,461.16 : x
  2. Step 2: Convert to fraction form
    6,843.38/10,267.80 = 2,461.16/x
  3. Step 3: Cross multiply
    6,843.38x = 10,267.80 × 2,461.16
  4. Step 4: Simplify right side
    6,843.38x = 25,270,698.65
  5. Step 5: Solve for x
    x = 25,270,698.65/6,843.38
  6. Step 6: Final answer
    x = 3,692.72

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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.