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Finding the Fourth Proportional to 10,267.67, 14,169.14 and 5,791.32

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Solution

The fourth proportional to 10,267.67, 14,169.14 and 5,791.32 is: 7,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.67 : 14,169.14 = 5,791.32 : x
  2. Step 2: Convert to fraction form
    10,267.67/14,169.14 = 5,791.32/x
  3. Step 3: Cross multiply
    10,267.67x = 14,169.14 × 5,791.32
  4. Step 4: Simplify right side
    10,267.67x = 82,058,023.86
  5. Step 5: Solve for x
    x = 82,058,023.86/10,267.67
  6. Step 6: Final answer
    x = 7,991.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.