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Finding the Fourth Proportional to 8,512.67, 12,769.69 and 2,965.89

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Solution

The fourth proportional to 8,512.67, 12,769.69 and 2,965.89 is: 4,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.67 : 12,769.69 = 2,965.89 : x
  2. Step 2: Convert to fraction form
    8,512.67/12,769.69 = 2,965.89/x
  3. Step 3: Cross multiply
    8,512.67x = 12,769.69 × 2,965.89
  4. Step 4: Simplify right side
    8,512.67x = 37,873,501.82
  5. Step 5: Solve for x
    x = 37,873,501.82/8,512.67
  6. Step 6: Final answer
    x = 4,449.07

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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.