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Finding the Fourth Proportional to 7,777.41, 11,663.72 and 2,229.27

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Solution

The fourth proportional to 7,777.41, 11,663.72 and 2,229.27 is: 3,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.41 : 11,663.72 = 2,229.27 : x
  2. Step 2: Convert to fraction form
    7,777.41/11,663.72 = 2,229.27/x
  3. Step 3: Cross multiply
    7,777.41x = 11,663.72 × 2,229.27
  4. Step 4: Simplify right side
    7,777.41x = 26,001,581.08
  5. Step 5: Solve for x
    x = 26,001,581.08/7,777.41
  6. Step 6: Final answer
    x = 3,343.22

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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.