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Finding the Fourth Proportional to 7,469.72, 11,204.57 and 2,789.54

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Solution

The fourth proportional to 7,469.72, 11,204.57 and 2,789.54 is: 4,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.72 : 11,204.57 = 2,789.54 : x
  2. Step 2: Convert to fraction form
    7,469.72/11,204.57 = 2,789.54/x
  3. Step 3: Cross multiply
    7,469.72x = 11,204.57 × 2,789.54
  4. Step 4: Simplify right side
    7,469.72x = 31,255,526.23
  5. Step 5: Solve for x
    x = 31,255,526.23/7,469.72
  6. Step 6: Final answer
    x = 4,184.30

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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.