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Finding the Fourth Proportional to 8,153.32, 12,236.97 and 8,091.96

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Solution

The fourth proportional to 8,153.32, 12,236.97 and 8,091.96 is: 12,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.32 : 12,236.97 = 8,091.96 : x
  2. Step 2: Convert to fraction form
    8,153.32/12,236.97 = 8,091.96/x
  3. Step 3: Cross multiply
    8,153.32x = 12,236.97 × 8,091.96
  4. Step 4: Simplify right side
    8,153.32x = 99,021,071.76
  5. Step 5: Solve for x
    x = 99,021,071.76/8,153.32
  6. Step 6: Final answer
    x = 12,144.88

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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.