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Finding the Fourth Proportional to 10,481.82, 15,674.12 and 8,115

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Solution

The fourth proportional to 10,481.82, 15,674.12 and 8,115 is: 12,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.82 : 15,674.12 = 8,115 : x
  2. Step 2: Convert to fraction form
    10,481.82/15,674.12 = 8,115/x
  3. Step 3: Cross multiply
    10,481.82x = 15,674.12 × 8,115
  4. Step 4: Simplify right side
    10,481.82x = 127,195,483.80
  5. Step 5: Solve for x
    x = 127,195,483.80/10,481.82
  6. Step 6: Final answer
    x = 12,134.87

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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.