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Finding the Fourth Proportional to 7,843.08, 11,766.42 and 3,460.88

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Solution

The fourth proportional to 7,843.08, 11,766.42 and 3,460.88 is: 5,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.08 : 11,766.42 = 3,460.88 : x
  2. Step 2: Convert to fraction form
    7,843.08/11,766.42 = 3,460.88/x
  3. Step 3: Cross multiply
    7,843.08x = 11,766.42 × 3,460.88
  4. Step 4: Simplify right side
    7,843.08x = 40,722,167.65
  5. Step 5: Solve for x
    x = 40,722,167.65/7,843.08
  6. Step 6: Final answer
    x = 5,192.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.