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Finding the Fourth Proportional to 6,826.90, 10,223.91 and 3,896.32

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Solution

The fourth proportional to 6,826.90, 10,223.91 and 3,896.32 is: 5,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.90 : 10,223.91 = 3,896.32 : x
  2. Step 2: Convert to fraction form
    6,826.90/10,223.91 = 3,896.32/x
  3. Step 3: Cross multiply
    6,826.90x = 10,223.91 × 3,896.32
  4. Step 4: Simplify right side
    6,826.90x = 39,835,625.01
  5. Step 5: Solve for x
    x = 39,835,625.01/6,826.90
  6. Step 6: Final answer
    x = 5,835.10

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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.