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Finding the Fourth Proportional to 7,777.94, 11,665.22 and 2,231.19

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Solution

The fourth proportional to 7,777.94, 11,665.22 and 2,231.19 is: 3,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.94 : 11,665.22 = 2,231.19 : x
  2. Step 2: Convert to fraction form
    7,777.94/11,665.22 = 2,231.19/x
  3. Step 3: Cross multiply
    7,777.94x = 11,665.22 × 2,231.19
  4. Step 4: Simplify right side
    7,777.94x = 26,027,311.06
  5. Step 5: Solve for x
    x = 26,027,311.06/7,777.94
  6. Step 6: Final answer
    x = 3,346.30

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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.