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Finding the Fourth Proportional to 7,139.27, 10,708.70 and 3,194.16

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Solution

The fourth proportional to 7,139.27, 10,708.70 and 3,194.16 is: 4,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.27 : 10,708.70 = 3,194.16 : x
  2. Step 2: Convert to fraction form
    7,139.27/10,708.70 = 3,194.16/x
  3. Step 3: Cross multiply
    7,139.27x = 10,708.70 × 3,194.16
  4. Step 4: Simplify right side
    7,139.27x = 34,205,285.22
  5. Step 5: Solve for x
    x = 34,205,285.22/7,139.27
  6. Step 6: Final answer
    x = 4,791.15

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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.