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Finding the Fourth Proportional to 8,245.82, 12,357.66 and 3,853.82

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Solution

The fourth proportional to 8,245.82, 12,357.66 and 3,853.82 is: 5,775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.82 : 12,357.66 = 3,853.82 : x
  2. Step 2: Convert to fraction form
    8,245.82/12,357.66 = 3,853.82/x
  3. Step 3: Cross multiply
    8,245.82x = 12,357.66 × 3,853.82
  4. Step 4: Simplify right side
    8,245.82x = 47,624,197.26
  5. Step 5: Solve for x
    x = 47,624,197.26/8,245.82
  6. Step 6: Final answer
    x = 5,775.56

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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.