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Finding the Fourth Proportional to 10,348.75, 15,524.75 and 3,424.87

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Solution

The fourth proportional to 10,348.75, 15,524.75 and 3,424.87 is: 5,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.75 : 15,524.75 = 3,424.87 : x
  2. Step 2: Convert to fraction form
    10,348.75/15,524.75 = 3,424.87/x
  3. Step 3: Cross multiply
    10,348.75x = 15,524.75 × 3,424.87
  4. Step 4: Simplify right side
    10,348.75x = 53,170,250.53
  5. Step 5: Solve for x
    x = 53,170,250.53/10,348.75
  6. Step 6: Final answer
    x = 5,137.84

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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.