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Finding the Fourth Proportional to 6,511.88, 9,759.99 and 2,997.05

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Solution

The fourth proportional to 6,511.88, 9,759.99 and 2,997.05 is: 4,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.88 : 9,759.99 = 2,997.05 : x
  2. Step 2: Convert to fraction form
    6,511.88/9,759.99 = 2,997.05/x
  3. Step 3: Cross multiply
    6,511.88x = 9,759.99 × 2,997.05
  4. Step 4: Simplify right side
    6,511.88x = 29,251,129.23
  5. Step 5: Solve for x
    x = 29,251,129.23/6,511.88
  6. Step 6: Final answer
    x = 4,491.97

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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.