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Finding the Fourth Proportional to 10,758.74, 16,138.10 and 3,828.38

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Solution

The fourth proportional to 10,758.74, 16,138.10 and 3,828.38 is: 5,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.74 : 16,138.10 = 3,828.38 : x
  2. Step 2: Convert to fraction form
    10,758.74/16,138.10 = 3,828.38/x
  3. Step 3: Cross multiply
    10,758.74x = 16,138.10 × 3,828.38
  4. Step 4: Simplify right side
    10,758.74x = 61,782,708.16
  5. Step 5: Solve for x
    x = 61,782,708.16/10,758.74
  6. Step 6: Final answer
    x = 5,742.56

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Why These Related Problems?

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