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Finding the Fourth Proportional to 8,511.70, 12,769.66 and 2,965.09

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Solution

The fourth proportional to 8,511.70, 12,769.66 and 2,965.09 is: 4,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.70 : 12,769.66 = 2,965.09 : x
  2. Step 2: Convert to fraction form
    8,511.70/12,769.66 = 2,965.09/x
  3. Step 3: Cross multiply
    8,511.70x = 12,769.66 × 2,965.09
  4. Step 4: Simplify right side
    8,511.70x = 37,863,235.55
  5. Step 5: Solve for x
    x = 37,863,235.55/8,511.70
  6. Step 6: Final answer
    x = 4,448.37

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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.