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Finding the Fourth Proportional to 11,718, 16,170.84 and 8,736.39

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Solution

The fourth proportional to 11,718, 16,170.84 and 8,736.39 is: 12,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718 : 16,170.84 = 8,736.39 : x
  2. Step 2: Convert to fraction form
    11,718/16,170.84 = 8,736.39/x
  3. Step 3: Cross multiply
    11,718x = 16,170.84 × 8,736.39
  4. Step 4: Simplify right side
    11,718x = 141,274,764.87
  5. Step 5: Solve for x
    x = 141,274,764.87/11,718
  6. Step 6: Final answer
    x = 12,056.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.