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Finding the Fourth Proportional to 6,826.26, 10,223.50 and 6,639.36

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Solution

The fourth proportional to 6,826.26, 10,223.50 and 6,639.36 is: 9,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.26 : 10,223.50 = 6,639.36 : x
  2. Step 2: Convert to fraction form
    6,826.26/10,223.50 = 6,639.36/x
  3. Step 3: Cross multiply
    6,826.26x = 10,223.50 × 6,639.36
  4. Step 4: Simplify right side
    6,826.26x = 67,877,496.96
  5. Step 5: Solve for x
    x = 67,877,496.96/6,826.26
  6. Step 6: Final answer
    x = 9,943.59

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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.