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Finding the Fourth Proportional to 6,100.38, 8,412.66 and 5,034.42

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Solution

The fourth proportional to 6,100.38, 8,412.66 and 5,034.42 is: 6,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.38 : 8,412.66 = 5,034.42 : x
  2. Step 2: Convert to fraction form
    6,100.38/8,412.66 = 5,034.42/x
  3. Step 3: Cross multiply
    6,100.38x = 8,412.66 × 5,034.42
  4. Step 4: Simplify right side
    6,100.38x = 42,352,863.76
  5. Step 5: Solve for x
    x = 42,352,863.76/6,100.38
  6. Step 6: Final answer
    x = 6,942.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.