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Finding the Fourth Proportional to 7,608.02, 11,404.92 and 3,902.05

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Solution

The fourth proportional to 7,608.02, 11,404.92 and 3,902.05 is: 5,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.02 : 11,404.92 = 3,902.05 : x
  2. Step 2: Convert to fraction form
    7,608.02/11,404.92 = 3,902.05/x
  3. Step 3: Cross multiply
    7,608.02x = 11,404.92 × 3,902.05
  4. Step 4: Simplify right side
    7,608.02x = 44,502,511.06
  5. Step 5: Solve for x
    x = 44,502,511.06/7,608.02
  6. Step 6: Final answer
    x = 5,849.42

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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.