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Finding the Fourth Proportional to 7,585.44, 10,468.20 and 6,324.37

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Solution

The fourth proportional to 7,585.44, 10,468.20 and 6,324.37 is: 8,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.44 : 10,468.20 = 6,324.37 : x
  2. Step 2: Convert to fraction form
    7,585.44/10,468.20 = 6,324.37/x
  3. Step 3: Cross multiply
    7,585.44x = 10,468.20 × 6,324.37
  4. Step 4: Simplify right side
    7,585.44x = 66,204,770.03
  5. Step 5: Solve for x
    x = 66,204,770.03/7,585.44
  6. Step 6: Final answer
    x = 8,727.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.