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Finding the Fourth Proportional to 7,143.87, 10,718.37 and 3,194.79

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Solution

The fourth proportional to 7,143.87, 10,718.37 and 3,194.79 is: 4,793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.87 : 10,718.37 = 3,194.79 : x
  2. Step 2: Convert to fraction form
    7,143.87/10,718.37 = 3,194.79/x
  3. Step 3: Cross multiply
    7,143.87x = 10,718.37 × 3,194.79
  4. Step 4: Simplify right side
    7,143.87x = 34,242,941.29
  5. Step 5: Solve for x
    x = 34,242,941.29/7,143.87
  6. Step 6: Final answer
    x = 4,793.33

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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.