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Finding the Fourth Proportional to 7,524.50, 11,286.83 and 2,052.50

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Solution

The fourth proportional to 7,524.50, 11,286.83 and 2,052.50 is: 3,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.50 : 11,286.83 = 2,052.50 : x
  2. Step 2: Convert to fraction form
    7,524.50/11,286.83 = 2,052.50/x
  3. Step 3: Cross multiply
    7,524.50x = 11,286.83 × 2,052.50
  4. Step 4: Simplify right side
    7,524.50x = 23,166,218.58
  5. Step 5: Solve for x
    x = 23,166,218.58/7,524.50
  6. Step 6: Final answer
    x = 3,078.77

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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.