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Finding the Fourth Proportional to 7,272.72, 10,902.72 and 2,592

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Solution

The fourth proportional to 7,272.72, 10,902.72 and 2,592 is: 3,885.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.72 : 10,902.72 = 2,592 : x
  2. Step 2: Convert to fraction form
    7,272.72/10,902.72 = 2,592/x
  3. Step 3: Cross multiply
    7,272.72x = 10,902.72 × 2,592
  4. Step 4: Simplify right side
    7,272.72x = 28,259,850.24
  5. Step 5: Solve for x
    x = 28,259,850.24/7,272.72
  6. Step 6: Final answer
    x = 3,885.73

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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.