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Finding the Fourth Proportional to 8,506.69, 12,761.01 and 2,266.79

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Solution

The fourth proportional to 8,506.69, 12,761.01 and 2,266.79 is: 3,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.69 : 12,761.01 = 2,266.79 : x
  2. Step 2: Convert to fraction form
    8,506.69/12,761.01 = 2,266.79/x
  3. Step 3: Cross multiply
    8,506.69x = 12,761.01 × 2,266.79
  4. Step 4: Simplify right side
    8,506.69x = 28,926,466.05
  5. Step 5: Solve for x
    x = 28,926,466.05/8,506.69
  6. Step 6: Final answer
    x = 3,400.44

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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.