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Finding the Fourth Proportional to 8,157.39, 11,257.46 and 4,620.52

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Solution

The fourth proportional to 8,157.39, 11,257.46 and 4,620.52 is: 6,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.39 : 11,257.46 = 4,620.52 : x
  2. Step 2: Convert to fraction form
    8,157.39/11,257.46 = 4,620.52/x
  3. Step 3: Cross multiply
    8,157.39x = 11,257.46 × 4,620.52
  4. Step 4: Simplify right side
    8,157.39x = 52,015,319.08
  5. Step 5: Solve for x
    x = 52,015,319.08/8,157.39
  6. Step 6: Final answer
    x = 6,376.47

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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.