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Finding the Fourth Proportional to 10,721.62, 14,795.97 and 6,183.25

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Solution

The fourth proportional to 10,721.62, 14,795.97 and 6,183.25 is: 8,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.62 : 14,795.97 = 6,183.25 : x
  2. Step 2: Convert to fraction form
    10,721.62/14,795.97 = 6,183.25/x
  3. Step 3: Cross multiply
    10,721.62x = 14,795.97 × 6,183.25
  4. Step 4: Simplify right side
    10,721.62x = 91,487,181.50
  5. Step 5: Solve for x
    x = 91,487,181.50/10,721.62
  6. Step 6: Final answer
    x = 8,532.96

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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.