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Finding the Fourth Proportional to 7,469.86, 11,211.70 and 3,774.69

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Solution

The fourth proportional to 7,469.86, 11,211.70 and 3,774.69 is: 5,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.86 : 11,211.70 = 3,774.69 : x
  2. Step 2: Convert to fraction form
    7,469.86/11,211.70 = 3,774.69/x
  3. Step 3: Cross multiply
    7,469.86x = 11,211.70 × 3,774.69
  4. Step 4: Simplify right side
    7,469.86x = 42,320,691.87
  5. Step 5: Solve for x
    x = 42,320,691.87/7,469.86
  6. Step 6: Final answer
    x = 5,665.53

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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.