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Finding the Fourth Proportional to 7,027.82, 10,542.13 and 2,645.31

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Solution

The fourth proportional to 7,027.82, 10,542.13 and 2,645.31 is: 3,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.82 : 10,542.13 = 2,645.31 : x
  2. Step 2: Convert to fraction form
    7,027.82/10,542.13 = 2,645.31/x
  3. Step 3: Cross multiply
    7,027.82x = 10,542.13 × 2,645.31
  4. Step 4: Simplify right side
    7,027.82x = 27,887,201.91
  5. Step 5: Solve for x
    x = 27,887,201.91/7,027.82
  6. Step 6: Final answer
    x = 3,968.12

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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.