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Finding the Fourth Proportional to 8,348.94, 12,514.16 and 5,571.78

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Solution

The fourth proportional to 8,348.94, 12,514.16 and 5,571.78 is: 8,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.94 : 12,514.16 = 5,571.78 : x
  2. Step 2: Convert to fraction form
    8,348.94/12,514.16 = 5,571.78/x
  3. Step 3: Cross multiply
    8,348.94x = 12,514.16 × 5,571.78
  4. Step 4: Simplify right side
    8,348.94x = 69,726,118.55
  5. Step 5: Solve for x
    x = 69,726,118.55/8,348.94
  6. Step 6: Final answer
    x = 8,351.49

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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.