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Finding the Fourth Proportional to 8,511.95, 12,768.01 and 2,589.80

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Solution

The fourth proportional to 8,511.95, 12,768.01 and 2,589.80 is: 3,884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.95 : 12,768.01 = 2,589.80 : x
  2. Step 2: Convert to fraction form
    8,511.95/12,768.01 = 2,589.80/x
  3. Step 3: Cross multiply
    8,511.95x = 12,768.01 × 2,589.80
  4. Step 4: Simplify right side
    8,511.95x = 33,066,536.55
  5. Step 5: Solve for x
    x = 33,066,536.55/8,511.95
  6. Step 6: Final answer
    x = 3,884.72

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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.