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Finding the Fourth Proportional to 7,847.33, 10,828.82 and 7,220.39

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Solution

The fourth proportional to 7,847.33, 10,828.82 and 7,220.39 is: 9,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.33 : 10,828.82 = 7,220.39 : x
  2. Step 2: Convert to fraction form
    7,847.33/10,828.82 = 7,220.39/x
  3. Step 3: Cross multiply
    7,847.33x = 10,828.82 × 7,220.39
  4. Step 4: Simplify right side
    7,847.33x = 78,188,213.39
  5. Step 5: Solve for x
    x = 78,188,213.39/7,847.33
  6. Step 6: Final answer
    x = 9,963.68

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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.