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Finding the Fourth Proportional to 7,611.27, 10,496.73 and 6,339.38

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Solution

The fourth proportional to 7,611.27, 10,496.73 and 6,339.38 is: 8,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.27 : 10,496.73 = 6,339.38 : x
  2. Step 2: Convert to fraction form
    7,611.27/10,496.73 = 6,339.38/x
  3. Step 3: Cross multiply
    7,611.27x = 10,496.73 × 6,339.38
  4. Step 4: Simplify right side
    7,611.27x = 66,542,707.74
  5. Step 5: Solve for x
    x = 66,542,707.74/7,611.27
  6. Step 6: Final answer
    x = 8,742.65

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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.