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Finding the Fourth Proportional to 7,380.81, 11,071.20 and 2,997.24

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Solution

The fourth proportional to 7,380.81, 11,071.20 and 2,997.24 is: 4,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.81 : 11,071.20 = 2,997.24 : x
  2. Step 2: Convert to fraction form
    7,380.81/11,071.20 = 2,997.24/x
  3. Step 3: Cross multiply
    7,380.81x = 11,071.20 × 2,997.24
  4. Step 4: Simplify right side
    7,380.81x = 33,183,043.49
  5. Step 5: Solve for x
    x = 33,183,043.49/7,380.81
  6. Step 6: Final answer
    x = 4,495.85

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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.