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Finding the Fourth Proportional to 7,568.54, 11,354.46 and 3,183.50

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Solution

The fourth proportional to 7,568.54, 11,354.46 and 3,183.50 is: 4,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.54 : 11,354.46 = 3,183.50 : x
  2. Step 2: Convert to fraction form
    7,568.54/11,354.46 = 3,183.50/x
  3. Step 3: Cross multiply
    7,568.54x = 11,354.46 × 3,183.50
  4. Step 4: Simplify right side
    7,568.54x = 36,146,923.41
  5. Step 5: Solve for x
    x = 36,146,923.41/7,568.54
  6. Step 6: Final answer
    x = 4,775.94

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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.