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Finding the Fourth Proportional to 8,290.75, 11,450.96 and 5,491.39

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Solution

The fourth proportional to 8,290.75, 11,450.96 and 5,491.39 is: 7,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.75 : 11,450.96 = 5,491.39 : x
  2. Step 2: Convert to fraction form
    8,290.75/11,450.96 = 5,491.39/x
  3. Step 3: Cross multiply
    8,290.75x = 11,450.96 × 5,491.39
  4. Step 4: Simplify right side
    8,290.75x = 62,881,659.78
  5. Step 5: Solve for x
    x = 62,881,659.78/8,290.75
  6. Step 6: Final answer
    x = 7,584.56

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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.