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Finding the Fourth Proportional to 8,196.57, 11,311.28 and 4,470.57

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Solution

The fourth proportional to 8,196.57, 11,311.28 and 4,470.57 is: 6,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.57 : 11,311.28 = 4,470.57 : x
  2. Step 2: Convert to fraction form
    8,196.57/11,311.28 = 4,470.57/x
  3. Step 3: Cross multiply
    8,196.57x = 11,311.28 × 4,470.57
  4. Step 4: Simplify right side
    8,196.57x = 50,567,846.68
  5. Step 5: Solve for x
    x = 50,567,846.68/8,196.57
  6. Step 6: Final answer
    x = 6,169.39

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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.