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Finding the Fourth Proportional to 8,135.22, 11,197.71 and 5,773.26

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Solution

The fourth proportional to 8,135.22, 11,197.71 and 5,773.26 is: 7,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.22 : 11,197.71 = 5,773.26 : x
  2. Step 2: Convert to fraction form
    8,135.22/11,197.71 = 5,773.26/x
  3. Step 3: Cross multiply
    8,135.22x = 11,197.71 × 5,773.26
  4. Step 4: Simplify right side
    8,135.22x = 64,647,291.23
  5. Step 5: Solve for x
    x = 64,647,291.23/8,135.22
  6. Step 6: Final answer
    x = 7,946.59

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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.