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Finding the Fourth Proportional to 8,189.68, 12,286.34 and 2,995.40

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Solution

The fourth proportional to 8,189.68, 12,286.34 and 2,995.40 is: 4,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.68 : 12,286.34 = 2,995.40 : x
  2. Step 2: Convert to fraction form
    8,189.68/12,286.34 = 2,995.40/x
  3. Step 3: Cross multiply
    8,189.68x = 12,286.34 × 2,995.40
  4. Step 4: Simplify right side
    8,189.68x = 36,802,502.84
  5. Step 5: Solve for x
    x = 36,802,502.84/8,189.68
  6. Step 6: Final answer
    x = 4,493.77

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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.