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Finding the Fourth Proportional to 10,347.13, 15,512.19 and 3,769.12

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Solution

The fourth proportional to 10,347.13, 15,512.19 and 3,769.12 is: 5,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.13 : 15,512.19 = 3,769.12 : x
  2. Step 2: Convert to fraction form
    10,347.13/15,512.19 = 3,769.12/x
  3. Step 3: Cross multiply
    10,347.13x = 15,512.19 × 3,769.12
  4. Step 4: Simplify right side
    10,347.13x = 58,467,305.57
  5. Step 5: Solve for x
    x = 58,467,305.57/10,347.13
  6. Step 6: Final answer
    x = 5,650.58

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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.