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Finding the Fourth Proportional to 11,102.72, 16,654.14 and 3,311.60

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Solution

The fourth proportional to 11,102.72, 16,654.14 and 3,311.60 is: 4,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.72 : 16,654.14 = 3,311.60 : x
  2. Step 2: Convert to fraction form
    11,102.72/16,654.14 = 3,311.60/x
  3. Step 3: Cross multiply
    11,102.72x = 16,654.14 × 3,311.60
  4. Step 4: Simplify right side
    11,102.72x = 55,151,850.02
  5. Step 5: Solve for x
    x = 55,151,850.02/11,102.72
  6. Step 6: Final answer
    x = 4,967.42

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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.