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Finding the Fourth Proportional to 8,198.01, 11,313.47 and 4,661.75

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Solution

The fourth proportional to 8,198.01, 11,313.47 and 4,661.75 is: 6,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.01 : 11,313.47 = 4,661.75 : x
  2. Step 2: Convert to fraction form
    8,198.01/11,313.47 = 4,661.75/x
  3. Step 3: Cross multiply
    8,198.01x = 11,313.47 × 4,661.75
  4. Step 4: Simplify right side
    8,198.01x = 52,740,608.71
  5. Step 5: Solve for x
    x = 52,740,608.71/8,198.01
  6. Step 6: Final answer
    x = 6,433.34

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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.