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Finding the Fourth Proportional to 8,193.13, 12,286.57 and 2,927.15

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Solution

The fourth proportional to 8,193.13, 12,286.57 and 2,927.15 is: 4,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.13 : 12,286.57 = 2,927.15 : x
  2. Step 2: Convert to fraction form
    8,193.13/12,286.57 = 2,927.15/x
  3. Step 3: Cross multiply
    8,193.13x = 12,286.57 × 2,927.15
  4. Step 4: Simplify right side
    8,193.13x = 35,964,633.38
  5. Step 5: Solve for x
    x = 35,964,633.38/8,193.13
  6. Step 6: Final answer
    x = 4,389.61

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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.