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Finding the Fourth Proportional to 8,183.84, 11,290.73 and 4,644.98

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Solution

The fourth proportional to 8,183.84, 11,290.73 and 4,644.98 is: 6,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.84 : 11,290.73 = 4,644.98 : x
  2. Step 2: Convert to fraction form
    8,183.84/11,290.73 = 4,644.98/x
  3. Step 3: Cross multiply
    8,183.84x = 11,290.73 × 4,644.98
  4. Step 4: Simplify right side
    8,183.84x = 52,445,177.70
  5. Step 5: Solve for x
    x = 52,445,177.70/8,183.84
  6. Step 6: Final answer
    x = 6,408.39

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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.