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Finding the Fourth Proportional to 11,629.53, 16,048.86 and 6,324.46

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Solution

The fourth proportional to 11,629.53, 16,048.86 and 6,324.46 is: 8,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.53 : 16,048.86 = 6,324.46 : x
  2. Step 2: Convert to fraction form
    11,629.53/16,048.86 = 6,324.46/x
  3. Step 3: Cross multiply
    11,629.53x = 16,048.86 × 6,324.46
  4. Step 4: Simplify right side
    11,629.53x = 101,500,373.12
  5. Step 5: Solve for x
    x = 101,500,373.12/11,629.53
  6. Step 6: Final answer
    x = 8,727.81

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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.