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Finding the Fourth Proportional to 11,851.76, 17,778.67 and 3,086.66

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Solution

The fourth proportional to 11,851.76, 17,778.67 and 3,086.66 is: 4,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.76 : 17,778.67 = 3,086.66 : x
  2. Step 2: Convert to fraction form
    11,851.76/17,778.67 = 3,086.66/x
  3. Step 3: Cross multiply
    11,851.76x = 17,778.67 × 3,086.66
  4. Step 4: Simplify right side
    11,851.76x = 54,876,612.93
  5. Step 5: Solve for x
    x = 54,876,612.93/11,851.76
  6. Step 6: Final answer
    x = 4,630.25

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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.