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Finding the Fourth Proportional to 8,189.45, 12,286.64 and 3,509.88

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Solution

The fourth proportional to 8,189.45, 12,286.64 and 3,509.88 is: 5,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.45 : 12,286.64 = 3,509.88 : x
  2. Step 2: Convert to fraction form
    8,189.45/12,286.64 = 3,509.88/x
  3. Step 3: Cross multiply
    8,189.45x = 12,286.64 × 3,509.88
  4. Step 4: Simplify right side
    8,189.45x = 43,124,644.07
  5. Step 5: Solve for x
    x = 43,124,644.07/8,189.45
  6. Step 6: Final answer
    x = 5,265.88

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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.