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Finding the Fourth Proportional to 8,364.82, 12,544.60 and 3,027.31

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Solution

The fourth proportional to 8,364.82, 12,544.60 and 3,027.31 is: 4,540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.82 : 12,544.60 = 3,027.31 : x
  2. Step 2: Convert to fraction form
    8,364.82/12,544.60 = 3,027.31/x
  3. Step 3: Cross multiply
    8,364.82x = 12,544.60 × 3,027.31
  4. Step 4: Simplify right side
    8,364.82x = 37,976,393.03
  5. Step 5: Solve for x
    x = 37,976,393.03/8,364.82
  6. Step 6: Final answer
    x = 4,540.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.