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Finding the Fourth Proportional to 7,114.42, 10,676.39 and 2,954.43

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Solution

The fourth proportional to 7,114.42, 10,676.39 and 2,954.43 is: 4,433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.42 : 10,676.39 = 2,954.43 : x
  2. Step 2: Convert to fraction form
    7,114.42/10,676.39 = 2,954.43/x
  3. Step 3: Cross multiply
    7,114.42x = 10,676.39 × 2,954.43
  4. Step 4: Simplify right side
    7,114.42x = 31,542,646.91
  5. Step 5: Solve for x
    x = 31,542,646.91/7,114.42
  6. Step 6: Final answer
    x = 4,433.62

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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.