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Finding the Fourth Proportional to 7,137.46, 10,707.22 and 2,207.54

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Solution

The fourth proportional to 7,137.46, 10,707.22 and 2,207.54 is: 3,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.46 : 10,707.22 = 2,207.54 : x
  2. Step 2: Convert to fraction form
    7,137.46/10,707.22 = 2,207.54/x
  3. Step 3: Cross multiply
    7,137.46x = 10,707.22 × 2,207.54
  4. Step 4: Simplify right side
    7,137.46x = 23,636,616.44
  5. Step 5: Solve for x
    x = 23,636,616.44/7,137.46
  6. Step 6: Final answer
    x = 3,311.63

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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.