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Finding the Fourth Proportional to 7,568.50, 11,344.33 and 5,713.60

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Solution

The fourth proportional to 7,568.50, 11,344.33 and 5,713.60 is: 8,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.50 : 11,344.33 = 5,713.60 : x
  2. Step 2: Convert to fraction form
    7,568.50/11,344.33 = 5,713.60/x
  3. Step 3: Cross multiply
    7,568.50x = 11,344.33 × 5,713.60
  4. Step 4: Simplify right side
    7,568.50x = 64,816,963.89
  5. Step 5: Solve for x
    x = 64,816,963.89/7,568.50
  6. Step 6: Final answer
    x = 8,564.04

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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.