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Finding the Fourth Proportional to 8,520.58, 11,758.26 and 4,744

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Solution

The fourth proportional to 8,520.58, 11,758.26 and 4,744 is: 6,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.58 : 11,758.26 = 4,744 : x
  2. Step 2: Convert to fraction form
    8,520.58/11,758.26 = 4,744/x
  3. Step 3: Cross multiply
    8,520.58x = 11,758.26 × 4,744
  4. Step 4: Simplify right side
    8,520.58x = 55,781,185.44
  5. Step 5: Solve for x
    x = 55,781,185.44/8,520.58
  6. Step 6: Final answer
    x = 6,546.64

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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.