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Finding the Fourth Proportional to 10,343.44, 15,512.28 and 4,186

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Solution

The fourth proportional to 10,343.44, 15,512.28 and 4,186 is: 6,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.44 : 15,512.28 = 4,186 : x
  2. Step 2: Convert to fraction form
    10,343.44/15,512.28 = 4,186/x
  3. Step 3: Cross multiply
    10,343.44x = 15,512.28 × 4,186
  4. Step 4: Simplify right side
    10,343.44x = 64,934,404.08
  5. Step 5: Solve for x
    x = 64,934,404.08/10,343.44
  6. Step 6: Final answer
    x = 6,277.83

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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.