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Finding the Fourth Proportional to 7,396.50, 10,207.17 and 4,084.50

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Solution

The fourth proportional to 7,396.50, 10,207.17 and 4,084.50 is: 5,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.50 : 10,207.17 = 4,084.50 : x
  2. Step 2: Convert to fraction form
    7,396.50/10,207.17 = 4,084.50/x
  3. Step 3: Cross multiply
    7,396.50x = 10,207.17 × 4,084.50
  4. Step 4: Simplify right side
    7,396.50x = 41,691,185.87
  5. Step 5: Solve for x
    x = 41,691,185.87/7,396.50
  6. Step 6: Final answer
    x = 5,636.61

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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.