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Finding the Fourth Proportional to 8,046.40, 11,083.26 and 5,684.44

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Solution

The fourth proportional to 8,046.40, 11,083.26 and 5,684.44 is: 7,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.40 : 11,083.26 = 5,684.44 : x
  2. Step 2: Convert to fraction form
    8,046.40/11,083.26 = 5,684.44/x
  3. Step 3: Cross multiply
    8,046.40x = 11,083.26 × 5,684.44
  4. Step 4: Simplify right side
    8,046.40x = 63,002,126.47
  5. Step 5: Solve for x
    x = 63,002,126.47/8,046.40
  6. Step 6: Final answer
    x = 7,829.85

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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.