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Finding the Fourth Proportional to 10,868, 16,252.16 and 8,096.56

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Solution

The fourth proportional to 10,868, 16,252.16 and 8,096.56 is: 12,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868 : 16,252.16 = 8,096.56 : x
  2. Step 2: Convert to fraction form
    10,868/16,252.16 = 8,096.56/x
  3. Step 3: Cross multiply
    10,868x = 16,252.16 × 8,096.56
  4. Step 4: Simplify right side
    10,868x = 131,586,588.57
  5. Step 5: Solve for x
    x = 131,586,588.57/10,868
  6. Step 6: Final answer
    x = 12,107.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.