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Finding the Fourth Proportional to 10,238.50, 15,358.05 and 2,843.50

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Solution

The fourth proportional to 10,238.50, 15,358.05 and 2,843.50 is: 4,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.50 : 15,358.05 = 2,843.50 : x
  2. Step 2: Convert to fraction form
    10,238.50/15,358.05 = 2,843.50/x
  3. Step 3: Cross multiply
    10,238.50x = 15,358.05 × 2,843.50
  4. Step 4: Simplify right side
    10,238.50x = 43,670,615.18
  5. Step 5: Solve for x
    x = 43,670,615.18/10,238.50
  6. Step 6: Final answer
    x = 4,265.34

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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.