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Finding the Fourth Proportional to 7,166.44, 10,755.60 and 3,659.05

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Solution

The fourth proportional to 7,166.44, 10,755.60 and 3,659.05 is: 5,491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.44 : 10,755.60 = 3,659.05 : x
  2. Step 2: Convert to fraction form
    7,166.44/10,755.60 = 3,659.05/x
  3. Step 3: Cross multiply
    7,166.44x = 10,755.60 × 3,659.05
  4. Step 4: Simplify right side
    7,166.44x = 39,355,278.18
  5. Step 5: Solve for x
    x = 39,355,278.18/7,166.44
  6. Step 6: Final answer
    x = 5,491.61

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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.