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Finding the Fourth Proportional to 11,761.16, 17,651.28 and 6,217.92

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Solution

The fourth proportional to 11,761.16, 17,651.28 and 6,217.92 is: 9,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.16 : 17,651.28 = 6,217.92 : x
  2. Step 2: Convert to fraction form
    11,761.16/17,651.28 = 6,217.92/x
  3. Step 3: Cross multiply
    11,761.16x = 17,651.28 × 6,217.92
  4. Step 4: Simplify right side
    11,761.16x = 109,754,246.94
  5. Step 5: Solve for x
    x = 109,754,246.94/11,761.16
  6. Step 6: Final answer
    x = 9,331.92

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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.