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Finding the Fourth Proportional to 11,761.14, 17,641.83 and 2,996.07

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Solution

The fourth proportional to 11,761.14, 17,641.83 and 2,996.07 is: 4,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.14 : 17,641.83 = 2,996.07 : x
  2. Step 2: Convert to fraction form
    11,761.14/17,641.83 = 2,996.07/x
  3. Step 3: Cross multiply
    11,761.14x = 17,641.83 × 2,996.07
  4. Step 4: Simplify right side
    11,761.14x = 52,856,157.61
  5. Step 5: Solve for x
    x = 52,856,157.61/11,761.14
  6. Step 6: Final answer
    x = 4,494.14

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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.