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Finding the Fourth Proportional to 11,767.86, 17,642.52 and 8,058.78

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Solution

The fourth proportional to 11,767.86, 17,642.52 and 8,058.78 is: 12,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.86 : 17,642.52 = 8,058.78 : x
  2. Step 2: Convert to fraction form
    11,767.86/17,642.52 = 8,058.78/x
  3. Step 3: Cross multiply
    11,767.86x = 17,642.52 × 8,058.78
  4. Step 4: Simplify right side
    11,767.86x = 142,177,187.33
  5. Step 5: Solve for x
    x = 142,177,187.33/11,767.86
  6. Step 6: Final answer
    x = 12,081.82

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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.