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Finding the Fourth Proportional to 8,524.92, 11,764 and 4,747.88

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Solution

The fourth proportional to 8,524.92, 11,764 and 4,747.88 is: 6,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.92 : 11,764 = 4,747.88 : x
  2. Step 2: Convert to fraction form
    8,524.92/11,764 = 4,747.88/x
  3. Step 3: Cross multiply
    8,524.92x = 11,764 × 4,747.88
  4. Step 4: Simplify right side
    8,524.92x = 55,854,060.32
  5. Step 5: Solve for x
    x = 55,854,060.32/8,524.92
  6. Step 6: Final answer
    x = 6,551.86

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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.