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Finding the Fourth Proportional to 11,777.18, 17,665.77 and 3,991.46

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Solution

The fourth proportional to 11,777.18, 17,665.77 and 3,991.46 is: 5,987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.18 : 17,665.77 = 3,991.46 : x
  2. Step 2: Convert to fraction form
    11,777.18/17,665.77 = 3,991.46/x
  3. Step 3: Cross multiply
    11,777.18x = 17,665.77 × 3,991.46
  4. Step 4: Simplify right side
    11,777.18x = 70,512,214.32
  5. Step 5: Solve for x
    x = 70,512,214.32/11,777.18
  6. Step 6: Final answer
    x = 5,987.19

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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.