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Finding the Fourth Proportional to 11,626.83, 16,044.93 and 6,321.60

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Solution

The fourth proportional to 11,626.83, 16,044.93 and 6,321.60 is: 8,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.83 : 16,044.93 = 6,321.60 : x
  2. Step 2: Convert to fraction form
    11,626.83/16,044.93 = 6,321.60/x
  3. Step 3: Cross multiply
    11,626.83x = 16,044.93 × 6,321.60
  4. Step 4: Simplify right side
    11,626.83x = 101,429,629.49
  5. Step 5: Solve for x
    x = 101,429,629.49/11,626.83
  6. Step 6: Final answer
    x = 8,723.76

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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.