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Finding the Fourth Proportional to 7,538.38, 10,404.18 and 4,393.96

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Solution

The fourth proportional to 7,538.38, 10,404.18 and 4,393.96 is: 6,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.38 : 10,404.18 = 4,393.96 : x
  2. Step 2: Convert to fraction form
    7,538.38/10,404.18 = 4,393.96/x
  3. Step 3: Cross multiply
    7,538.38x = 10,404.18 × 4,393.96
  4. Step 4: Simplify right side
    7,538.38x = 45,715,550.75
  5. Step 5: Solve for x
    x = 45,715,550.75/7,538.38
  6. Step 6: Final answer
    x = 6,064.37

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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.