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Finding the Fourth Proportional to 10,767.68, 16,142.56 and 3,367.52

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Solution

The fourth proportional to 10,767.68, 16,142.56 and 3,367.52 is: 5,048.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.68 : 16,142.56 = 3,367.52 : x
  2. Step 2: Convert to fraction form
    10,767.68/16,142.56 = 3,367.52/x
  3. Step 3: Cross multiply
    10,767.68x = 16,142.56 × 3,367.52
  4. Step 4: Simplify right side
    10,767.68x = 54,360,393.65
  5. Step 5: Solve for x
    x = 54,360,393.65/10,767.68
  6. Step 6: Final answer
    x = 5,048.48

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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.