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Finding the Fourth Proportional to 6,801.21, 10,201.82 and 1,871.37

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Solution

The fourth proportional to 6,801.21, 10,201.82 and 1,871.37 is: 2,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.21 : 10,201.82 = 1,871.37 : x
  2. Step 2: Convert to fraction form
    6,801.21/10,201.82 = 1,871.37/x
  3. Step 3: Cross multiply
    6,801.21x = 10,201.82 × 1,871.37
  4. Step 4: Simplify right side
    6,801.21x = 19,091,370.54
  5. Step 5: Solve for x
    x = 19,091,370.54/6,801.21
  6. Step 6: Final answer
    x = 2,807.06

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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.