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Finding the Fourth Proportional to 11,969.34, 17,953.82 and 3,761.34

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Solution

The fourth proportional to 11,969.34, 17,953.82 and 3,761.34 is: 5,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.34 : 17,953.82 = 3,761.34 : x
  2. Step 2: Convert to fraction form
    11,969.34/17,953.82 = 3,761.34/x
  3. Step 3: Cross multiply
    11,969.34x = 17,953.82 × 3,761.34
  4. Step 4: Simplify right side
    11,969.34x = 67,530,421.32
  5. Step 5: Solve for x
    x = 67,530,421.32/11,969.34
  6. Step 6: Final answer
    x = 5,641.95

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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.