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Finding the Fourth Proportional to 7,114.68, 10,672.54 and 2,732.14

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Solution

The fourth proportional to 7,114.68, 10,672.54 and 2,732.14 is: 4,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.68 : 10,672.54 = 2,732.14 : x
  2. Step 2: Convert to fraction form
    7,114.68/10,672.54 = 2,732.14/x
  3. Step 3: Cross multiply
    7,114.68x = 10,672.54 × 2,732.14
  4. Step 4: Simplify right side
    7,114.68x = 29,158,873.44
  5. Step 5: Solve for x
    x = 29,158,873.44/7,114.68
  6. Step 6: Final answer
    x = 4,098.41

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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.