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Finding the Fourth Proportional to 8,255.78, 11,392.90 and 4,478.92

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Solution

The fourth proportional to 8,255.78, 11,392.90 and 4,478.92 is: 6,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.78 : 11,392.90 = 4,478.92 : x
  2. Step 2: Convert to fraction form
    8,255.78/11,392.90 = 4,478.92/x
  3. Step 3: Cross multiply
    8,255.78x = 11,392.90 × 4,478.92
  4. Step 4: Simplify right side
    8,255.78x = 51,027,887.67
  5. Step 5: Solve for x
    x = 51,027,887.67/8,255.78
  6. Step 6: Final answer
    x = 6,180.87

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