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Finding the Fourth Proportional to 15,052.26, 22,592.25 and 7,662

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Solution

The fourth proportional to 15,052.26, 22,592.25 and 7,662 is: 11,500.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,052.26 : 22,592.25 = 7,662 : x
  2. Step 2: Convert to fraction form
    15,052.26/22,592.25 = 7,662/x
  3. Step 3: Cross multiply
    15,052.26x = 22,592.25 × 7,662
  4. Step 4: Simplify right side
    15,052.26x = 173,101,819.50
  5. Step 5: Solve for x
    x = 173,101,819.50/15,052.26
  6. Step 6: Final answer
    x = 11,500.06

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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.