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Finding the Fourth Proportional to 7,469.78, 11,204.66 and 2,204.86

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Solution

The fourth proportional to 7,469.78, 11,204.66 and 2,204.86 is: 3,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.78 : 11,204.66 = 2,204.86 : x
  2. Step 2: Convert to fraction form
    7,469.78/11,204.66 = 2,204.86/x
  3. Step 3: Cross multiply
    7,469.78x = 11,204.66 × 2,204.86
  4. Step 4: Simplify right side
    7,469.78x = 24,704,684.15
  5. Step 5: Solve for x
    x = 24,704,684.15/7,469.78
  6. Step 6: Final answer
    x = 3,307.29

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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.