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Finding the Fourth Proportional to 8,183.84, 11,293.56 and 4,647

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Solution

The fourth proportional to 8,183.84, 11,293.56 and 4,647 is: 6,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.84 : 11,293.56 = 4,647 : x
  2. Step 2: Convert to fraction form
    8,183.84/11,293.56 = 4,647/x
  3. Step 3: Cross multiply
    8,183.84x = 11,293.56 × 4,647
  4. Step 4: Simplify right side
    8,183.84x = 52,481,173.32
  5. Step 5: Solve for x
    x = 52,481,173.32/8,183.84
  6. Step 6: Final answer
    x = 6,412.78

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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.