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Finding the Fourth Proportional to 8,198.76, 11,313.72 and 4,663.56

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Solution

The fourth proportional to 8,198.76, 11,313.72 and 4,663.56 is: 6,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.76 : 11,313.72 = 4,663.56 : x
  2. Step 2: Convert to fraction form
    8,198.76/11,313.72 = 4,663.56/x
  3. Step 3: Cross multiply
    8,198.76x = 11,313.72 × 4,663.56
  4. Step 4: Simplify right side
    8,198.76x = 52,762,212.04
  5. Step 5: Solve for x
    x = 52,762,212.04/8,198.76
  6. Step 6: Final answer
    x = 6,435.39

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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.