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Finding the Fourth Proportional to 11,781.36, 17,662.77 and 8,072.28

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Solution

The fourth proportional to 11,781.36, 17,662.77 and 8,072.28 is: 12,102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.36 : 17,662.77 = 8,072.28 : x
  2. Step 2: Convert to fraction form
    11,781.36/17,662.77 = 8,072.28/x
  3. Step 3: Cross multiply
    11,781.36x = 17,662.77 × 8,072.28
  4. Step 4: Simplify right side
    11,781.36x = 142,578,825.02
  5. Step 5: Solve for x
    x = 142,578,825.02/11,781.36
  6. Step 6: Final answer
    x = 12,102.07

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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.