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Finding the Fourth Proportional to 7,754.38, 11,624.51 and 2,822.85

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Solution

The fourth proportional to 7,754.38, 11,624.51 and 2,822.85 is: 4,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.38 : 11,624.51 = 2,822.85 : x
  2. Step 2: Convert to fraction form
    7,754.38/11,624.51 = 2,822.85/x
  3. Step 3: Cross multiply
    7,754.38x = 11,624.51 × 2,822.85
  4. Step 4: Simplify right side
    7,754.38x = 32,814,255.11
  5. Step 5: Solve for x
    x = 32,814,255.11/7,754.38
  6. Step 6: Final answer
    x = 4,231.71

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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.