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Finding the Fourth Proportional to 8,286.57, 11,417.65 and 5,629.37

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Solution

The fourth proportional to 8,286.57, 11,417.65 and 5,629.37 is: 7,756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.57 : 11,417.65 = 5,629.37 : x
  2. Step 2: Convert to fraction form
    8,286.57/11,417.65 = 5,629.37/x
  3. Step 3: Cross multiply
    8,286.57x = 11,417.65 × 5,629.37
  4. Step 4: Simplify right side
    8,286.57x = 64,274,105.22
  5. Step 5: Solve for x
    x = 64,274,105.22/8,286.57
  6. Step 6: Final answer
    x = 7,756.42

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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.