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Finding the Fourth Proportional to 7,101.44, 10,651.72 and 2,170.69

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Solution

The fourth proportional to 7,101.44, 10,651.72 and 2,170.69 is: 3,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.44 : 10,651.72 = 2,170.69 : x
  2. Step 2: Convert to fraction form
    7,101.44/10,651.72 = 2,170.69/x
  3. Step 3: Cross multiply
    7,101.44x = 10,651.72 × 2,170.69
  4. Step 4: Simplify right side
    7,101.44x = 23,121,582.09
  5. Step 5: Solve for x
    x = 23,121,582.09/7,101.44
  6. Step 6: Final answer
    x = 3,255.90

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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.