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Finding the Fourth Proportional to 7,754.37, 11,624.97 and 3,077.68

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Solution

The fourth proportional to 7,754.37, 11,624.97 and 3,077.68 is: 4,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.37 : 11,624.97 = 3,077.68 : x
  2. Step 2: Convert to fraction form
    7,754.37/11,624.97 = 3,077.68/x
  3. Step 3: Cross multiply
    7,754.37x = 11,624.97 × 3,077.68
  4. Step 4: Simplify right side
    7,754.37x = 35,777,956.05
  5. Step 5: Solve for x
    x = 35,777,956.05/7,754.37
  6. Step 6: Final answer
    x = 4,613.91

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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.