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Finding the Fourth Proportional to 8,144.52, 11,240.28 and 5,002.80

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Solution

The fourth proportional to 8,144.52, 11,240.28 and 5,002.80 is: 6,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.52 : 11,240.28 = 5,002.80 : x
  2. Step 2: Convert to fraction form
    8,144.52/11,240.28 = 5,002.80/x
  3. Step 3: Cross multiply
    8,144.52x = 11,240.28 × 5,002.80
  4. Step 4: Simplify right side
    8,144.52x = 56,232,872.78
  5. Step 5: Solve for x
    x = 56,232,872.78/8,144.52
  6. Step 6: Final answer
    x = 6,904.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.