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Finding the Fourth Proportional to 7,871.39, 11,806.96 and 3,191.36

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Solution

The fourth proportional to 7,871.39, 11,806.96 and 3,191.36 is: 4,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.39 : 11,806.96 = 3,191.36 : x
  2. Step 2: Convert to fraction form
    7,871.39/11,806.96 = 3,191.36/x
  3. Step 3: Cross multiply
    7,871.39x = 11,806.96 × 3,191.36
  4. Step 4: Simplify right side
    7,871.39x = 37,680,259.87
  5. Step 5: Solve for x
    x = 37,680,259.87/7,871.39
  6. Step 6: Final answer
    x = 4,786.99

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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.