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Finding the Fourth Proportional to 8,188.16, 12,286.28 and 5,585.90

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Solution

The fourth proportional to 8,188.16, 12,286.28 and 5,585.90 is: 8,381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.16 : 12,286.28 = 5,585.90 : x
  2. Step 2: Convert to fraction form
    8,188.16/12,286.28 = 5,585.90/x
  3. Step 3: Cross multiply
    8,188.16x = 12,286.28 × 5,585.90
  4. Step 4: Simplify right side
    8,188.16x = 68,629,883.99
  5. Step 5: Solve for x
    x = 68,629,883.99/8,188.16
  6. Step 6: Final answer
    x = 8,381.61

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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.