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Finding the Fourth Proportional to 10,305.52, 15,451.68 and 6,791.44

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Solution

The fourth proportional to 10,305.52, 15,451.68 and 6,791.44 is: 10,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.52 : 15,451.68 = 6,791.44 : x
  2. Step 2: Convert to fraction form
    10,305.52/15,451.68 = 6,791.44/x
  3. Step 3: Cross multiply
    10,305.52x = 15,451.68 × 6,791.44
  4. Step 4: Simplify right side
    10,305.52x = 104,939,157.62
  5. Step 5: Solve for x
    x = 104,939,157.62/10,305.52
  6. Step 6: Final answer
    x = 10,182.81

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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.