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Finding the Fourth Proportional to 7,871.27, 11,801.43 and 3,486.33

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Solution

The fourth proportional to 7,871.27, 11,801.43 and 3,486.33 is: 5,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.27 : 11,801.43 = 3,486.33 : x
  2. Step 2: Convert to fraction form
    7,871.27/11,801.43 = 3,486.33/x
  3. Step 3: Cross multiply
    7,871.27x = 11,801.43 × 3,486.33
  4. Step 4: Simplify right side
    7,871.27x = 41,143,679.45
  5. Step 5: Solve for x
    x = 41,143,679.45/7,871.27
  6. Step 6: Final answer
    x = 5,227.07

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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.