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Finding the Fourth Proportional to 11,777.22, 17,665.80 and 2,892.57

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Solution

The fourth proportional to 11,777.22, 17,665.80 and 2,892.57 is: 4,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.22 : 17,665.80 = 2,892.57 : x
  2. Step 2: Convert to fraction form
    11,777.22/17,665.80 = 2,892.57/x
  3. Step 3: Cross multiply
    11,777.22x = 17,665.80 × 2,892.57
  4. Step 4: Simplify right side
    11,777.22x = 51,099,610.22
  5. Step 5: Solve for x
    x = 51,099,610.22/11,777.22
  6. Step 6: Final answer
    x = 4,338.85

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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.