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Finding the Fourth Proportional to 7,477.97, 11,204.60 and 3,311.73

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Solution

The fourth proportional to 7,477.97, 11,204.60 and 3,311.73 is: 4,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.97 : 11,204.60 = 3,311.73 : x
  2. Step 2: Convert to fraction form
    7,477.97/11,204.60 = 3,311.73/x
  3. Step 3: Cross multiply
    7,477.97x = 11,204.60 × 3,311.73
  4. Step 4: Simplify right side
    7,477.97x = 37,106,593.40
  5. Step 5: Solve for x
    x = 37,106,593.40/7,477.97
  6. Step 6: Final answer
    x = 4,962.12

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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.