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Finding the Fourth Proportional to 7,648.29, 11,464.70 and 5,183.37

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Solution

The fourth proportional to 7,648.29, 11,464.70 and 5,183.37 is: 7,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.29 : 11,464.70 = 5,183.37 : x
  2. Step 2: Convert to fraction form
    7,648.29/11,464.70 = 5,183.37/x
  3. Step 3: Cross multiply
    7,648.29x = 11,464.70 × 5,183.37
  4. Step 4: Simplify right side
    7,648.29x = 59,425,756.12
  5. Step 5: Solve for x
    x = 59,425,756.12/7,648.29
  6. Step 6: Final answer
    x = 7,769.81

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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.