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Finding the Fourth Proportional to 11,180.50, 16,771.97 and 4,255

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Solution

The fourth proportional to 11,180.50, 16,771.97 and 4,255 is: 6,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.50 : 16,771.97 = 4,255 : x
  2. Step 2: Convert to fraction form
    11,180.50/16,771.97 = 4,255/x
  3. Step 3: Cross multiply
    11,180.50x = 16,771.97 × 4,255
  4. Step 4: Simplify right side
    11,180.50x = 71,364,732.35
  5. Step 5: Solve for x
    x = 71,364,732.35/11,180.50
  6. Step 6: Final answer
    x = 6,382.96

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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.