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Finding the Fourth Proportional to 11,761.69, 17,650.80 and 5,521.91

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Solution

The fourth proportional to 11,761.69, 17,650.80 and 5,521.91 is: 8,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.69 : 17,650.80 = 5,521.91 : x
  2. Step 2: Convert to fraction form
    11,761.69/17,650.80 = 5,521.91/x
  3. Step 3: Cross multiply
    11,761.69x = 17,650.80 × 5,521.91
  4. Step 4: Simplify right side
    11,761.69x = 97,466,040.77
  5. Step 5: Solve for x
    x = 97,466,040.77/11,761.69
  6. Step 6: Final answer
    x = 8,286.74

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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.