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Finding the Fourth Proportional to 7,697.98, 11,546.34 and 2,150.86

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Solution

The fourth proportional to 7,697.98, 11,546.34 and 2,150.86 is: 3,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.98 : 11,546.34 = 2,150.86 : x
  2. Step 2: Convert to fraction form
    7,697.98/11,546.34 = 2,150.86/x
  3. Step 3: Cross multiply
    7,697.98x = 11,546.34 × 2,150.86
  4. Step 4: Simplify right side
    7,697.98x = 24,834,560.85
  5. Step 5: Solve for x
    x = 24,834,560.85/7,697.98
  6. Step 6: Final answer
    x = 3,226.11

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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.