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Finding the Fourth Proportional to 6,871.84, 10,296.92 and 5,223.36

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Solution

The fourth proportional to 6,871.84, 10,296.92 and 5,223.36 is: 7,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.84 : 10,296.92 = 5,223.36 : x
  2. Step 2: Convert to fraction form
    6,871.84/10,296.92 = 5,223.36/x
  3. Step 3: Cross multiply
    6,871.84x = 10,296.92 × 5,223.36
  4. Step 4: Simplify right side
    6,871.84x = 53,784,520.05
  5. Step 5: Solve for x
    x = 53,784,520.05/6,871.84
  6. Step 6: Final answer
    x = 7,826.80

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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.