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Finding the Fourth Proportional to 8,153.14, 11,251.38 and 4,616.68

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Solution

The fourth proportional to 8,153.14, 11,251.38 and 4,616.68 is: 6,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.14 : 11,251.38 = 4,616.68 : x
  2. Step 2: Convert to fraction form
    8,153.14/11,251.38 = 4,616.68/x
  3. Step 3: Cross multiply
    8,153.14x = 11,251.38 × 4,616.68
  4. Step 4: Simplify right side
    8,153.14x = 51,944,021.02
  5. Step 5: Solve for x
    x = 51,944,021.02/8,153.14
  6. Step 6: Final answer
    x = 6,371.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.