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Finding the Fourth Proportional to 8,105.69, 11,185.76 and 4,520.63

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Solution

The fourth proportional to 8,105.69, 11,185.76 and 4,520.63 is: 6,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.69 : 11,185.76 = 4,520.63 : x
  2. Step 2: Convert to fraction form
    8,105.69/11,185.76 = 4,520.63/x
  3. Step 3: Cross multiply
    8,105.69x = 11,185.76 × 4,520.63
  4. Step 4: Simplify right side
    8,105.69x = 50,566,682.23
  5. Step 5: Solve for x
    x = 50,566,682.23/8,105.69
  6. Step 6: Final answer
    x = 6,238.42

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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.