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Finding the Fourth Proportional to 10,415.62, 15,629.91 and 3,843.28

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Solution

The fourth proportional to 10,415.62, 15,629.91 and 3,843.28 is: 5,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.62 : 15,629.91 = 3,843.28 : x
  2. Step 2: Convert to fraction form
    10,415.62/15,629.91 = 3,843.28/x
  3. Step 3: Cross multiply
    10,415.62x = 15,629.91 × 3,843.28
  4. Step 4: Simplify right side
    10,415.62x = 60,070,120.50
  5. Step 5: Solve for x
    x = 60,070,120.50/10,415.62
  6. Step 6: Final answer
    x = 5,767.31

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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.