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Finding the Fourth Proportional to 6,892.54, 9,511.59 and 3,826.29

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Solution

The fourth proportional to 6,892.54, 9,511.59 and 3,826.29 is: 5,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.54 : 9,511.59 = 3,826.29 : x
  2. Step 2: Convert to fraction form
    6,892.54/9,511.59 = 3,826.29/x
  3. Step 3: Cross multiply
    6,892.54x = 9,511.59 × 3,826.29
  4. Step 4: Simplify right side
    6,892.54x = 36,394,098.22
  5. Step 5: Solve for x
    x = 36,394,098.22/6,892.54
  6. Step 6: Final answer
    x = 5,280.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.