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Finding the Fourth Proportional to 27,512.52, 41,269.58 and 6,736

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Solution

The fourth proportional to 27,512.52, 41,269.58 and 6,736 is: 10,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512.52 : 41,269.58 = 6,736 : x
  2. Step 2: Convert to fraction form
    27,512.52/41,269.58 = 6,736/x
  3. Step 3: Cross multiply
    27,512.52x = 41,269.58 × 6,736
  4. Step 4: Simplify right side
    27,512.52x = 277,991,890.88
  5. Step 5: Solve for x
    x = 277,991,890.88/27,512.52
  6. Step 6: Final answer
    x = 10,104.20

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