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Finding the Fourth Proportional to 8,163.14, 11,265.12 and 4,760.29

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Solution

The fourth proportional to 8,163.14, 11,265.12 and 4,760.29 is: 6,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.14 : 11,265.12 = 4,760.29 : x
  2. Step 2: Convert to fraction form
    8,163.14/11,265.12 = 4,760.29/x
  3. Step 3: Cross multiply
    8,163.14x = 11,265.12 × 4,760.29
  4. Step 4: Simplify right side
    8,163.14x = 53,625,223.31
  5. Step 5: Solve for x
    x = 53,625,223.31/8,163.14
  6. Step 6: Final answer
    x = 6,569.19

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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.