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Finding the Fourth Proportional to 7,261, 10,892.44 and 2,067.02

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Solution

The fourth proportional to 7,261, 10,892.44 and 2,067.02 is: 3,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261 : 10,892.44 = 2,067.02 : x
  2. Step 2: Convert to fraction form
    7,261/10,892.44 = 2,067.02/x
  3. Step 3: Cross multiply
    7,261x = 10,892.44 × 2,067.02
  4. Step 4: Simplify right side
    7,261x = 22,514,891.33
  5. Step 5: Solve for x
    x = 22,514,891.33/7,261
  6. Step 6: Final answer
    x = 3,100.80

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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.