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Finding the Fourth Proportional to 10,951.76, 16,427.67 and 2,743.76

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Solution

The fourth proportional to 10,951.76, 16,427.67 and 2,743.76 is: 4,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.76 : 16,427.67 = 2,743.76 : x
  2. Step 2: Convert to fraction form
    10,951.76/16,427.67 = 2,743.76/x
  3. Step 3: Cross multiply
    10,951.76x = 16,427.67 × 2,743.76
  4. Step 4: Simplify right side
    10,951.76x = 45,073,583.84
  5. Step 5: Solve for x
    x = 45,073,583.84/10,951.76
  6. Step 6: Final answer
    x = 4,115.65

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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.