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Finding the Fourth Proportional to 8,286.40, 12,434.40 and 3,092.80

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Solution

The fourth proportional to 8,286.40, 12,434.40 and 3,092.80 is: 4,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.40 : 12,434.40 = 3,092.80 : x
  2. Step 2: Convert to fraction form
    8,286.40/12,434.40 = 3,092.80/x
  3. Step 3: Cross multiply
    8,286.40x = 12,434.40 × 3,092.80
  4. Step 4: Simplify right side
    8,286.40x = 38,457,112.32
  5. Step 5: Solve for x
    x = 38,457,112.32/8,286.40
  6. Step 6: Final answer
    x = 4,640.99

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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.