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Finding the Fourth Proportional to 7,102.26, 10,650.06 and 2,170.86

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Solution

The fourth proportional to 7,102.26, 10,650.06 and 2,170.86 is: 3,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.26 : 10,650.06 = 2,170.86 : x
  2. Step 2: Convert to fraction form
    7,102.26/10,650.06 = 2,170.86/x
  3. Step 3: Cross multiply
    7,102.26x = 10,650.06 × 2,170.86
  4. Step 4: Simplify right side
    7,102.26x = 23,119,789.25
  5. Step 5: Solve for x
    x = 23,119,789.25/7,102.26
  6. Step 6: Final answer
    x = 3,255.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.