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Finding the Fourth Proportional to 7,261.13, 10,892.30 and 2,067

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Solution

The fourth proportional to 7,261.13, 10,892.30 and 2,067 is: 3,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.13 : 10,892.30 = 2,067 : x
  2. Step 2: Convert to fraction form
    7,261.13/10,892.30 = 2,067/x
  3. Step 3: Cross multiply
    7,261.13x = 10,892.30 × 2,067
  4. Step 4: Simplify right side
    7,261.13x = 22,514,373.77
  5. Step 5: Solve for x
    x = 22,514,373.77/7,261.13
  6. Step 6: Final answer
    x = 3,100.67

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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.