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Finding the Fourth Proportional to 11,777.20, 17,644.94 and 6,218.27

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Solution

The fourth proportional to 11,777.20, 17,644.94 and 6,218.27 is: 9,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.20 : 17,644.94 = 6,218.27 : x
  2. Step 2: Convert to fraction form
    11,777.20/17,644.94 = 6,218.27/x
  3. Step 3: Cross multiply
    11,777.20x = 17,644.94 × 6,218.27
  4. Step 4: Simplify right side
    11,777.20x = 109,720,971.22
  5. Step 5: Solve for x
    x = 109,720,971.22/11,777.20
  6. Step 6: Final answer
    x = 9,316.39

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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.