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Finding the Fourth Proportional to 11,081.25, 16,625 and 4,512.15

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Solution

The fourth proportional to 11,081.25, 16,625 and 4,512.15 is: 6,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,081.25 : 16,625 = 4,512.15 : x
  2. Step 2: Convert to fraction form
    11,081.25/16,625 = 4,512.15/x
  3. Step 3: Cross multiply
    11,081.25x = 16,625 × 4,512.15
  4. Step 4: Simplify right side
    11,081.25x = 75,014,493.75
  5. Step 5: Solve for x
    x = 75,014,493.75/11,081.25
  6. Step 6: Final answer
    x = 6,769.50

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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.