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Finding the Fourth Proportional to 7,100.56, 10,651.12 and 1,906.40

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Solution

The fourth proportional to 7,100.56, 10,651.12 and 1,906.40 is: 2,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.56 : 10,651.12 = 1,906.40 : x
  2. Step 2: Convert to fraction form
    7,100.56/10,651.12 = 1,906.40/x
  3. Step 3: Cross multiply
    7,100.56x = 10,651.12 × 1,906.40
  4. Step 4: Simplify right side
    7,100.56x = 20,305,295.17
  5. Step 5: Solve for x
    x = 20,305,295.17/7,100.56
  6. Step 6: Final answer
    x = 2,859.68

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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.