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Finding the Fourth Proportional to 10,044.27, 15,067.62 and 4,846.50

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Solution

The fourth proportional to 10,044.27, 15,067.62 and 4,846.50 is: 7,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044.27 : 15,067.62 = 4,846.50 : x
  2. Step 2: Convert to fraction form
    10,044.27/15,067.62 = 4,846.50/x
  3. Step 3: Cross multiply
    10,044.27x = 15,067.62 × 4,846.50
  4. Step 4: Simplify right side
    10,044.27x = 73,025,220.33
  5. Step 5: Solve for x
    x = 73,025,220.33/10,044.27
  6. Step 6: Final answer
    x = 7,270.34

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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.