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Finding the Fourth Proportional to 11,169.36, 16,742.36 and 8,203.39

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Solution

The fourth proportional to 11,169.36, 16,742.36 and 8,203.39 is: 12,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,169.36 : 16,742.36 = 8,203.39 : x
  2. Step 2: Convert to fraction form
    11,169.36/16,742.36 = 8,203.39/x
  3. Step 3: Cross multiply
    11,169.36x = 16,742.36 × 8,203.39
  4. Step 4: Simplify right side
    11,169.36x = 137,344,087.25
  5. Step 5: Solve for x
    x = 137,344,087.25/11,169.36
  6. Step 6: Final answer
    x = 12,296.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.