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Finding the Fourth Proportional to 11,781.86, 17,663.52 and 8,072.78

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Solution

The fourth proportional to 11,781.86, 17,663.52 and 8,072.78 is: 12,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.86 : 17,663.52 = 8,072.78 : x
  2. Step 2: Convert to fraction form
    11,781.86/17,663.52 = 8,072.78/x
  3. Step 3: Cross multiply
    11,781.86x = 17,663.52 × 8,072.78
  4. Step 4: Simplify right side
    11,781.86x = 142,593,710.99
  5. Step 5: Solve for x
    x = 142,593,710.99/11,781.86
  6. Step 6: Final answer
    x = 12,102.82

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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.