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Finding the Fourth Proportional to 7,114.92, 10,673.75 and 2,732.03

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Solution

The fourth proportional to 7,114.92, 10,673.75 and 2,732.03 is: 4,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.92 : 10,673.75 = 2,732.03 : x
  2. Step 2: Convert to fraction form
    7,114.92/10,673.75 = 2,732.03/x
  3. Step 3: Cross multiply
    7,114.92x = 10,673.75 × 2,732.03
  4. Step 4: Simplify right side
    7,114.92x = 29,160,991.55
  5. Step 5: Solve for x
    x = 29,160,991.55/7,114.92
  6. Step 6: Final answer
    x = 4,098.57

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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.