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Finding the Fourth Proportional to 7,143.57, 10,713.92 and 2,212.02

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Solution

The fourth proportional to 7,143.57, 10,713.92 and 2,212.02 is: 3,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.57 : 10,713.92 = 2,212.02 : x
  2. Step 2: Convert to fraction form
    7,143.57/10,713.92 = 2,212.02/x
  3. Step 3: Cross multiply
    7,143.57x = 10,713.92 × 2,212.02
  4. Step 4: Simplify right side
    7,143.57x = 23,699,394.26
  5. Step 5: Solve for x
    x = 23,699,394.26/7,143.57
  6. Step 6: Final answer
    x = 3,317.58

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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.