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Finding the Fourth Proportional to 6,316.44, 8,711.52 and 5,608.80

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Solution

The fourth proportional to 6,316.44, 8,711.52 and 5,608.80 is: 7,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.44 : 8,711.52 = 5,608.80 : x
  2. Step 2: Convert to fraction form
    6,316.44/8,711.52 = 5,608.80/x
  3. Step 3: Cross multiply
    6,316.44x = 8,711.52 × 5,608.80
  4. Step 4: Simplify right side
    6,316.44x = 48,861,173.38
  5. Step 5: Solve for x
    x = 48,861,173.38/6,316.44
  6. Step 6: Final answer
    x = 7,735.56

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Why These Related Problems?

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