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Finding the Fourth Proportional to 7,073.05, 10,609.60 and 2,142.73

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Solution

The fourth proportional to 7,073.05, 10,609.60 and 2,142.73 is: 3,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.05 : 10,609.60 = 2,142.73 : x
  2. Step 2: Convert to fraction form
    7,073.05/10,609.60 = 2,142.73/x
  3. Step 3: Cross multiply
    7,073.05x = 10,609.60 × 2,142.73
  4. Step 4: Simplify right side
    7,073.05x = 22,733,508.21
  5. Step 5: Solve for x
    x = 22,733,508.21/7,073.05
  6. Step 6: Final answer
    x = 3,214.10

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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.