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Finding the Fourth Proportional to 7,524.30, 11,286.05 and 3,616.86

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Solution

The fourth proportional to 7,524.30, 11,286.05 and 3,616.86 is: 5,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.30 : 11,286.05 = 3,616.86 : x
  2. Step 2: Convert to fraction form
    7,524.30/11,286.05 = 3,616.86/x
  3. Step 3: Cross multiply
    7,524.30x = 11,286.05 × 3,616.86
  4. Step 4: Simplify right side
    7,524.30x = 40,820,044.72
  5. Step 5: Solve for x
    x = 40,820,044.72/7,524.30
  6. Step 6: Final answer
    x = 5,425.10

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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.