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Finding the Fourth Proportional to 11,853.68, 17,791.68 and 6,014.48

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Solution

The fourth proportional to 11,853.68, 17,791.68 and 6,014.48 is: 9,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.68 : 17,791.68 = 6,014.48 : x
  2. Step 2: Convert to fraction form
    11,853.68/17,791.68 = 6,014.48/x
  3. Step 3: Cross multiply
    11,853.68x = 17,791.68 × 6,014.48
  4. Step 4: Simplify right side
    11,853.68x = 107,007,703.53
  5. Step 5: Solve for x
    x = 107,007,703.53/11,853.68
  6. Step 6: Final answer
    x = 9,027.38

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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.