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Finding the Fourth Proportional to 11,629.66, 16,049.08 and 6,324.46

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Solution

The fourth proportional to 11,629.66, 16,049.08 and 6,324.46 is: 8,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.66 : 16,049.08 = 6,324.46 : x
  2. Step 2: Convert to fraction form
    11,629.66/16,049.08 = 6,324.46/x
  3. Step 3: Cross multiply
    11,629.66x = 16,049.08 × 6,324.46
  4. Step 4: Simplify right side
    11,629.66x = 101,501,764.50
  5. Step 5: Solve for x
    x = 101,501,764.50/11,629.66
  6. Step 6: Final answer
    x = 8,727.84

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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.