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Finding the Fourth Proportional to 11,753.60, 17,627.20 and 3,961.28

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Solution

The fourth proportional to 11,753.60, 17,627.20 and 3,961.28 is: 5,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.60 : 17,627.20 = 3,961.28 : x
  2. Step 2: Convert to fraction form
    11,753.60/17,627.20 = 3,961.28/x
  3. Step 3: Cross multiply
    11,753.60x = 17,627.20 × 3,961.28
  4. Step 4: Simplify right side
    11,753.60x = 69,826,274.82
  5. Step 5: Solve for x
    x = 69,826,274.82/11,753.60
  6. Step 6: Final answer
    x = 5,940.84

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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.