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Finding the Fourth Proportional to 7,073.12, 10,609.73 and 2,143.14

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Solution

The fourth proportional to 7,073.12, 10,609.73 and 2,143.14 is: 3,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.12 : 10,609.73 = 2,143.14 : x
  2. Step 2: Convert to fraction form
    7,073.12/10,609.73 = 2,143.14/x
  3. Step 3: Cross multiply
    7,073.12x = 10,609.73 × 2,143.14
  4. Step 4: Simplify right side
    7,073.12x = 22,738,126.04
  5. Step 5: Solve for x
    x = 22,738,126.04/7,073.12
  6. Step 6: Final answer
    x = 3,214.73

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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.