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Finding the Fourth Proportional to 7,524.56, 11,286.72 and 2,052.56

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Solution

The fourth proportional to 7,524.56, 11,286.72 and 2,052.56 is: 3,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.56 : 11,286.72 = 2,052.56 : x
  2. Step 2: Convert to fraction form
    7,524.56/11,286.72 = 2,052.56/x
  3. Step 3: Cross multiply
    7,524.56x = 11,286.72 × 2,052.56
  4. Step 4: Simplify right side
    7,524.56x = 23,166,670.00
  5. Step 5: Solve for x
    x = 23,166,670.00/7,524.56
  6. Step 6: Final answer
    x = 3,078.81

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Why These Related Problems?

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