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Finding the Fourth Proportional to 11,758.82, 17,639.21 and 2,993.71

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Solution

The fourth proportional to 11,758.82, 17,639.21 and 2,993.71 is: 4,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.82 : 17,639.21 = 2,993.71 : x
  2. Step 2: Convert to fraction form
    11,758.82/17,639.21 = 2,993.71/x
  3. Step 3: Cross multiply
    11,758.82x = 17,639.21 × 2,993.71
  4. Step 4: Simplify right side
    11,758.82x = 52,806,591.17
  5. Step 5: Solve for x
    x = 52,806,591.17/11,758.82
  6. Step 6: Final answer
    x = 4,490.81

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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.