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Finding the Fourth Proportional to 7,234.56, 10,843.20 and 5,696.64

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Solution

The fourth proportional to 7,234.56, 10,843.20 and 5,696.64 is: 8,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.56 : 10,843.20 = 5,696.64 : x
  2. Step 2: Convert to fraction form
    7,234.56/10,843.20 = 5,696.64/x
  3. Step 3: Cross multiply
    7,234.56x = 10,843.20 × 5,696.64
  4. Step 4: Simplify right side
    7,234.56x = 61,769,806.85
  5. Step 5: Solve for x
    x = 61,769,806.85/7,234.56
  6. Step 6: Final answer
    x = 8,538.16

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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.