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Finding the Fourth Proportional to 8,524.62, 11,763.74 and 4,747.79

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Solution

The fourth proportional to 8,524.62, 11,763.74 and 4,747.79 is: 6,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.62 : 11,763.74 = 4,747.79 : x
  2. Step 2: Convert to fraction form
    8,524.62/11,763.74 = 4,747.79/x
  3. Step 3: Cross multiply
    8,524.62x = 11,763.74 × 4,747.79
  4. Step 4: Simplify right side
    8,524.62x = 55,851,684.58
  5. Step 5: Solve for x
    x = 55,851,684.58/8,524.62
  6. Step 6: Final answer
    x = 6,551.81

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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.