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Finding the Fourth Proportional to 7,461, 11,183.42 and 3,558.44

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Solution

The fourth proportional to 7,461, 11,183.42 and 3,558.44 is: 5,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461 : 11,183.42 = 3,558.44 : x
  2. Step 2: Convert to fraction form
    7,461/11,183.42 = 3,558.44/x
  3. Step 3: Cross multiply
    7,461x = 11,183.42 × 3,558.44
  4. Step 4: Simplify right side
    7,461x = 39,795,529.06
  5. Step 5: Solve for x
    x = 39,795,529.06/7,461
  6. Step 6: Final answer
    x = 5,333.81

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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.