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Finding the Fourth Proportional to 8,120.75, 12,181.10 and 6,644.52

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Solution

The fourth proportional to 8,120.75, 12,181.10 and 6,644.52 is: 9,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.75 : 12,181.10 = 6,644.52 : x
  2. Step 2: Convert to fraction form
    8,120.75/12,181.10 = 6,644.52/x
  3. Step 3: Cross multiply
    8,120.75x = 12,181.10 × 6,644.52
  4. Step 4: Simplify right side
    8,120.75x = 80,937,529.35
  5. Step 5: Solve for x
    x = 80,937,529.35/8,120.75
  6. Step 6: Final answer
    x = 9,966.76

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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.