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Finding the Fourth Proportional to 8,123.56, 12,183.58 and 4,744.09

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Solution

The fourth proportional to 8,123.56, 12,183.58 and 4,744.09 is: 7,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.56 : 12,183.58 = 4,744.09 : x
  2. Step 2: Convert to fraction form
    8,123.56/12,183.58 = 4,744.09/x
  3. Step 3: Cross multiply
    8,123.56x = 12,183.58 × 4,744.09
  4. Step 4: Simplify right side
    8,123.56x = 57,800,021.20
  5. Step 5: Solve for x
    x = 57,800,021.20/8,123.56
  6. Step 6: Final answer
    x = 7,115.11

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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.