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Finding the Fourth Proportional to 6,843.30, 10,252.80 and 5,871.30

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Solution

The fourth proportional to 6,843.30, 10,252.80 and 5,871.30 is: 8,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.30 : 10,252.80 = 5,871.30 : x
  2. Step 2: Convert to fraction form
    6,843.30/10,252.80 = 5,871.30/x
  3. Step 3: Cross multiply
    6,843.30x = 10,252.80 × 5,871.30
  4. Step 4: Simplify right side
    6,843.30x = 60,197,264.64
  5. Step 5: Solve for x
    x = 60,197,264.64/6,843.30
  6. Step 6: Final answer
    x = 8,796.53

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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.