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Finding the Fourth Proportional to 10,122.69, 15,181.08 and 3,882.24

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Solution

The fourth proportional to 10,122.69, 15,181.08 and 3,882.24 is: 5,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.69 : 15,181.08 = 3,882.24 : x
  2. Step 2: Convert to fraction form
    10,122.69/15,181.08 = 3,882.24/x
  3. Step 3: Cross multiply
    10,122.69x = 15,181.08 × 3,882.24
  4. Step 4: Simplify right side
    10,122.69x = 58,936,596.02
  5. Step 5: Solve for x
    x = 58,936,596.02/10,122.69
  6. Step 6: Final answer
    x = 5,822.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.