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Finding the Fourth Proportional to 11,777.74, 17,651.76 and 6,233.56

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Solution

The fourth proportional to 11,777.74, 17,651.76 and 6,233.56 is: 9,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.74 : 17,651.76 = 6,233.56 : x
  2. Step 2: Convert to fraction form
    11,777.74/17,651.76 = 6,233.56/x
  3. Step 3: Cross multiply
    11,777.74x = 17,651.76 × 6,233.56
  4. Step 4: Simplify right side
    11,777.74x = 110,033,237.56
  5. Step 5: Solve for x
    x = 110,033,237.56/11,777.74
  6. Step 6: Final answer
    x = 9,342.48

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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.