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Finding the Fourth Proportional to 7,568.53, 11,328.44 and 4,049.68

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Solution

The fourth proportional to 7,568.53, 11,328.44 and 4,049.68 is: 6,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.53 : 11,328.44 = 4,049.68 : x
  2. Step 2: Convert to fraction form
    7,568.53/11,328.44 = 4,049.68/x
  3. Step 3: Cross multiply
    7,568.53x = 11,328.44 × 4,049.68
  4. Step 4: Simplify right side
    7,568.53x = 45,876,556.90
  5. Step 5: Solve for x
    x = 45,876,556.90/7,568.53
  6. Step 6: Final answer
    x = 6,061.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.