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Finding the Fourth Proportional to 7,843.01, 11,766.04 and 2,296.44

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Solution

The fourth proportional to 7,843.01, 11,766.04 and 2,296.44 is: 3,445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.01 : 11,766.04 = 2,296.44 : x
  2. Step 2: Convert to fraction form
    7,843.01/11,766.04 = 2,296.44/x
  3. Step 3: Cross multiply
    7,843.01x = 11,766.04 × 2,296.44
  4. Step 4: Simplify right side
    7,843.01x = 27,020,004.90
  5. Step 5: Solve for x
    x = 27,020,004.90/7,843.01
  6. Step 6: Final answer
    x = 3,445.11

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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.