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Finding the Fourth Proportional to 8,696.50, 13,047.18 and 2,857.21

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Solution

The fourth proportional to 8,696.50, 13,047.18 and 2,857.21 is: 4,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.50 : 13,047.18 = 2,857.21 : x
  2. Step 2: Convert to fraction form
    8,696.50/13,047.18 = 2,857.21/x
  3. Step 3: Cross multiply
    8,696.50x = 13,047.18 × 2,857.21
  4. Step 4: Simplify right side
    8,696.50x = 37,278,489.84
  5. Step 5: Solve for x
    x = 37,278,489.84/8,696.50
  6. Step 6: Final answer
    x = 4,286.61

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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.