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Finding the Fourth Proportional to 8,009.25, 12,015.41 and 2,461.61

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Solution

The fourth proportional to 8,009.25, 12,015.41 and 2,461.61 is: 3,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.25 : 12,015.41 = 2,461.61 : x
  2. Step 2: Convert to fraction form
    8,009.25/12,015.41 = 2,461.61/x
  3. Step 3: Cross multiply
    8,009.25x = 12,015.41 × 2,461.61
  4. Step 4: Simplify right side
    8,009.25x = 29,577,181.03
  5. Step 5: Solve for x
    x = 29,577,181.03/8,009.25
  6. Step 6: Final answer
    x = 3,692.88

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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.