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Finding the Fourth Proportional to 11,753.54, 17,634.92 and 5,175.11

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Solution

The fourth proportional to 11,753.54, 17,634.92 and 5,175.11 is: 7,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.54 : 17,634.92 = 5,175.11 : x
  2. Step 2: Convert to fraction form
    11,753.54/17,634.92 = 5,175.11/x
  3. Step 3: Cross multiply
    11,753.54x = 17,634.92 × 5,175.11
  4. Step 4: Simplify right side
    11,753.54x = 91,262,650.84
  5. Step 5: Solve for x
    x = 91,262,650.84/11,753.54
  6. Step 6: Final answer
    x = 7,764.69

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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.