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Finding the Fourth Proportional to 8,156.44, 11,255.85 and 4,619.98

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Solution

The fourth proportional to 8,156.44, 11,255.85 and 4,619.98 is: 6,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.44 : 11,255.85 = 4,619.98 : x
  2. Step 2: Convert to fraction form
    8,156.44/11,255.85 = 4,619.98/x
  3. Step 3: Cross multiply
    8,156.44x = 11,255.85 × 4,619.98
  4. Step 4: Simplify right side
    8,156.44x = 52,001,801.88
  5. Step 5: Solve for x
    x = 52,001,801.88/8,156.44
  6. Step 6: Final answer
    x = 6,375.55

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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.