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Finding the Fourth Proportional to 7,140.96, 10,709.71 and 2,755.62

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Solution

The fourth proportional to 7,140.96, 10,709.71 and 2,755.62 is: 4,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.96 : 10,709.71 = 2,755.62 : x
  2. Step 2: Convert to fraction form
    7,140.96/10,709.71 = 2,755.62/x
  3. Step 3: Cross multiply
    7,140.96x = 10,709.71 × 2,755.62
  4. Step 4: Simplify right side
    7,140.96x = 29,511,891.07
  5. Step 5: Solve for x
    x = 29,511,891.07/7,140.96
  6. Step 6: Final answer
    x = 4,132.76

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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.