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Finding the Fourth Proportional to 8,195.31, 12,302.72 and 7,861.12

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Solution

The fourth proportional to 8,195.31, 12,302.72 and 7,861.12 is: 11,801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.31 : 12,302.72 = 7,861.12 : x
  2. Step 2: Convert to fraction form
    8,195.31/12,302.72 = 7,861.12/x
  3. Step 3: Cross multiply
    8,195.31x = 12,302.72 × 7,861.12
  4. Step 4: Simplify right side
    8,195.31x = 96,713,057.43
  5. Step 5: Solve for x
    x = 96,713,057.43/8,195.31
  6. Step 6: Final answer
    x = 11,801.02

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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.