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Finding the Fourth Proportional to 7,697.67, 11,546.58 and 2,150.67

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Solution

The fourth proportional to 7,697.67, 11,546.58 and 2,150.67 is: 3,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.67 : 11,546.58 = 2,150.67 : x
  2. Step 2: Convert to fraction form
    7,697.67/11,546.58 = 2,150.67/x
  3. Step 3: Cross multiply
    7,697.67x = 11,546.58 × 2,150.67
  4. Step 4: Simplify right side
    7,697.67x = 24,832,883.21
  5. Step 5: Solve for x
    x = 24,832,883.21/7,697.67
  6. Step 6: Final answer
    x = 3,226.03

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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.