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Finding the Fourth Proportional to 8,404.44, 11,583.84 and 5,747.25

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Solution

The fourth proportional to 8,404.44, 11,583.84 and 5,747.25 is: 7,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.44 : 11,583.84 = 5,747.25 : x
  2. Step 2: Convert to fraction form
    8,404.44/11,583.84 = 5,747.25/x
  3. Step 3: Cross multiply
    8,404.44x = 11,583.84 × 5,747.25
  4. Step 4: Simplify right side
    8,404.44x = 66,575,224.44
  5. Step 5: Solve for x
    x = 66,575,224.44/8,404.44
  6. Step 6: Final answer
    x = 7,921.43

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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.