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Finding the Fourth Proportional to 8,286.60, 11,434.86 and 5,142.18

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Solution

The fourth proportional to 8,286.60, 11,434.86 and 5,142.18 is: 7,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.60 : 11,434.86 = 5,142.18 : x
  2. Step 2: Convert to fraction form
    8,286.60/11,434.86 = 5,142.18/x
  3. Step 3: Cross multiply
    8,286.60x = 11,434.86 × 5,142.18
  4. Step 4: Simplify right side
    8,286.60x = 58,800,108.39
  5. Step 5: Solve for x
    x = 58,800,108.39/8,286.60
  6. Step 6: Final answer
    x = 7,095.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.