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Finding the Fourth Proportional to 10,857.70, 16,286.45 and 8,680.22

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Solution

The fourth proportional to 10,857.70, 16,286.45 and 8,680.22 is: 13,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.70 : 16,286.45 = 8,680.22 : x
  2. Step 2: Convert to fraction form
    10,857.70/16,286.45 = 8,680.22/x
  3. Step 3: Cross multiply
    10,857.70x = 16,286.45 × 8,680.22
  4. Step 4: Simplify right side
    10,857.70x = 141,369,969.02
  5. Step 5: Solve for x
    x = 141,369,969.02/10,857.70
  6. Step 6: Final answer
    x = 13,020.25

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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.