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Finding the Fourth Proportional to 10,951.50, 16,427.34 and 2,743.50

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Solution

The fourth proportional to 10,951.50, 16,427.34 and 2,743.50 is: 4,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.50 : 16,427.34 = 2,743.50 : x
  2. Step 2: Convert to fraction form
    10,951.50/16,427.34 = 2,743.50/x
  3. Step 3: Cross multiply
    10,951.50x = 16,427.34 × 2,743.50
  4. Step 4: Simplify right side
    10,951.50x = 45,068,407.29
  5. Step 5: Solve for x
    x = 45,068,407.29/10,951.50
  6. Step 6: Final answer
    x = 4,115.27

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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.