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Finding the Fourth Proportional to 7,568.42, 11,338.05 and 6,183.32

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Solution

The fourth proportional to 7,568.42, 11,338.05 and 6,183.32 is: 9,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.42 : 11,338.05 = 6,183.32 : x
  2. Step 2: Convert to fraction form
    7,568.42/11,338.05 = 6,183.32/x
  3. Step 3: Cross multiply
    7,568.42x = 11,338.05 × 6,183.32
  4. Step 4: Simplify right side
    7,568.42x = 70,106,791.33
  5. Step 5: Solve for x
    x = 70,106,791.33/7,568.42
  6. Step 6: Final answer
    x = 9,263.07

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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.