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Finding the Fourth Proportional to 10,348.50, 15,524.37 and 3,424.62

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Solution

The fourth proportional to 10,348.50, 15,524.37 and 3,424.62 is: 5,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.50 : 15,524.37 = 3,424.62 : x
  2. Step 2: Convert to fraction form
    10,348.50/15,524.37 = 3,424.62/x
  3. Step 3: Cross multiply
    10,348.50x = 15,524.37 × 3,424.62
  4. Step 4: Simplify right side
    10,348.50x = 53,165,067.99
  5. Step 5: Solve for x
    x = 53,165,067.99/10,348.50
  6. Step 6: Final answer
    x = 5,137.47

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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.