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Finding the Fourth Proportional to 11,772.44, 16,228.86 and 8,224.64

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Solution

The fourth proportional to 11,772.44, 16,228.86 and 8,224.64 is: 11,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.44 : 16,228.86 = 8,224.64 : x
  2. Step 2: Convert to fraction form
    11,772.44/16,228.86 = 8,224.64/x
  3. Step 3: Cross multiply
    11,772.44x = 16,228.86 × 8,224.64
  4. Step 4: Simplify right side
    11,772.44x = 133,476,531.11
  5. Step 5: Solve for x
    x = 133,476,531.11/11,772.44
  6. Step 6: Final answer
    x = 11,338.05

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Why These Related Problems?

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