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Finding the Fourth Proportional to 10,767.24, 16,149.24 and 3,748.32

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Solution

The fourth proportional to 10,767.24, 16,149.24 and 3,748.32 is: 5,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.24 : 16,149.24 = 3,748.32 : x
  2. Step 2: Convert to fraction form
    10,767.24/16,149.24 = 3,748.32/x
  3. Step 3: Cross multiply
    10,767.24x = 16,149.24 × 3,748.32
  4. Step 4: Simplify right side
    10,767.24x = 60,532,519.28
  5. Step 5: Solve for x
    x = 60,532,519.28/10,767.24
  6. Step 6: Final answer
    x = 5,621.92

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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.