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Finding the Fourth Proportional to 8,205.25, 11,323.25 and 5,063.26

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Solution

The fourth proportional to 8,205.25, 11,323.25 and 5,063.26 is: 6,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.25 : 11,323.25 = 5,063.26 : x
  2. Step 2: Convert to fraction form
    8,205.25/11,323.25 = 5,063.26/x
  3. Step 3: Cross multiply
    8,205.25x = 11,323.25 × 5,063.26
  4. Step 4: Simplify right side
    8,205.25x = 57,332,558.80
  5. Step 5: Solve for x
    x = 57,332,558.80/8,205.25
  6. Step 6: Final answer
    x = 6,987.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.