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Finding the Fourth Proportional to 8,524.37, 12,768.09 and 4,132.64

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Solution

The fourth proportional to 8,524.37, 12,768.09 and 4,132.64 is: 6,190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.37 : 12,768.09 = 4,132.64 : x
  2. Step 2: Convert to fraction form
    8,524.37/12,768.09 = 4,132.64/x
  3. Step 3: Cross multiply
    8,524.37x = 12,768.09 × 4,132.64
  4. Step 4: Simplify right side
    8,524.37x = 52,765,919.46
  5. Step 5: Solve for x
    x = 52,765,919.46/8,524.37
  6. Step 6: Final answer
    x = 6,190.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.