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Finding the Fourth Proportional to 6,511.10, 9,759.16 and 3,226.35

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Solution

The fourth proportional to 6,511.10, 9,759.16 and 3,226.35 is: 4,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.10 : 9,759.16 = 3,226.35 : x
  2. Step 2: Convert to fraction form
    6,511.10/9,759.16 = 3,226.35/x
  3. Step 3: Cross multiply
    6,511.10x = 9,759.16 × 3,226.35
  4. Step 4: Simplify right side
    6,511.10x = 31,486,449.73
  5. Step 5: Solve for x
    x = 31,486,449.73/6,511.10
  6. Step 6: Final answer
    x = 4,835.81

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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.