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Finding the Fourth Proportional to 10,212.39, 15,310.17 and 3,969.18

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Solution

The fourth proportional to 10,212.39, 15,310.17 and 3,969.18 is: 5,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.39 : 15,310.17 = 3,969.18 : x
  2. Step 2: Convert to fraction form
    10,212.39/15,310.17 = 3,969.18/x
  3. Step 3: Cross multiply
    10,212.39x = 15,310.17 × 3,969.18
  4. Step 4: Simplify right side
    10,212.39x = 60,768,820.56
  5. Step 5: Solve for x
    x = 60,768,820.56/10,212.39
  6. Step 6: Final answer
    x = 5,950.50

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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.