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Finding the Fourth Proportional to 8,220.82, 11,343.63 and 4,863.82

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Solution

The fourth proportional to 8,220.82, 11,343.63 and 4,863.82 is: 6,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.82 : 11,343.63 = 4,863.82 : x
  2. Step 2: Convert to fraction form
    8,220.82/11,343.63 = 4,863.82/x
  3. Step 3: Cross multiply
    8,220.82x = 11,343.63 × 4,863.82
  4. Step 4: Simplify right side
    8,220.82x = 55,173,374.47
  5. Step 5: Solve for x
    x = 55,173,374.47/8,220.82
  6. Step 6: Final answer
    x = 6,711.42

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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.