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Finding the Fourth Proportional to 7,261.56, 10,892.70 and 2,067

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Solution

The fourth proportional to 7,261.56, 10,892.70 and 2,067 is: 3,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.56 : 10,892.70 = 2,067 : x
  2. Step 2: Convert to fraction form
    7,261.56/10,892.70 = 2,067/x
  3. Step 3: Cross multiply
    7,261.56x = 10,892.70 × 2,067
  4. Step 4: Simplify right side
    7,261.56x = 22,515,210.90
  5. Step 5: Solve for x
    x = 22,515,210.90/7,261.56
  6. Step 6: Final answer
    x = 3,100.60

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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.