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Finding the Fourth Proportional to 8,255.34, 11,392.42 and 4,478.52

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Solution

The fourth proportional to 8,255.34, 11,392.42 and 4,478.52 is: 6,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.34 : 11,392.42 = 4,478.52 : x
  2. Step 2: Convert to fraction form
    8,255.34/11,392.42 = 4,478.52/x
  3. Step 3: Cross multiply
    8,255.34x = 11,392.42 × 4,478.52
  4. Step 4: Simplify right side
    8,255.34x = 51,021,180.82
  5. Step 5: Solve for x
    x = 51,021,180.82/8,255.34
  6. Step 6: Final answer
    x = 6,180.39

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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.