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Finding the Fourth Proportional to 11,961.32, 16,492.52 and 8,186.32

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Solution

The fourth proportional to 11,961.32, 16,492.52 and 8,186.32 is: 11,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.32 : 16,492.52 = 8,186.32 : x
  2. Step 2: Convert to fraction form
    11,961.32/16,492.52 = 8,186.32/x
  3. Step 3: Cross multiply
    11,961.32x = 16,492.52 × 8,186.32
  4. Step 4: Simplify right side
    11,961.32x = 135,013,046.33
  5. Step 5: Solve for x
    x = 135,013,046.33/11,961.32
  6. Step 6: Final answer
    x = 11,287.47

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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.