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Finding the Fourth Proportional to 7,697.30, 11,546.32 and 3,997.20

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Solution

The fourth proportional to 7,697.30, 11,546.32 and 3,997.20 is: 5,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.30 : 11,546.32 = 3,997.20 : x
  2. Step 2: Convert to fraction form
    7,697.30/11,546.32 = 3,997.20/x
  3. Step 3: Cross multiply
    7,697.30x = 11,546.32 × 3,997.20
  4. Step 4: Simplify right side
    7,697.30x = 46,152,950.30
  5. Step 5: Solve for x
    x = 46,152,950.30/7,697.30
  6. Step 6: Final answer
    x = 5,995.99

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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.