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Finding the Fourth Proportional to 11,626.77, 16,033.91 and 7,850.55

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Solution

The fourth proportional to 11,626.77, 16,033.91 and 7,850.55 is: 10,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.77 : 16,033.91 = 7,850.55 : x
  2. Step 2: Convert to fraction form
    11,626.77/16,033.91 = 7,850.55/x
  3. Step 3: Cross multiply
    11,626.77x = 16,033.91 × 7,850.55
  4. Step 4: Simplify right side
    11,626.77x = 125,874,972.90
  5. Step 5: Solve for x
    x = 125,874,972.90/11,626.77
  6. Step 6: Final answer
    x = 10,826.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.