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Finding the Fourth Proportional to 8,511.16, 12,767.09 and 2,965.07

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Solution

The fourth proportional to 8,511.16, 12,767.09 and 2,965.07 is: 4,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.16 : 12,767.09 = 2,965.07 : x
  2. Step 2: Convert to fraction form
    8,511.16/12,767.09 = 2,965.07/x
  3. Step 3: Cross multiply
    8,511.16x = 12,767.09 × 2,965.07
  4. Step 4: Simplify right side
    8,511.16x = 37,855,236.89
  5. Step 5: Solve for x
    x = 37,855,236.89/8,511.16
  6. Step 6: Final answer
    x = 4,447.72

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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.