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Finding the Fourth Proportional to 8,536.98, 12,806.33 and 2,297.65

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Solution

The fourth proportional to 8,536.98, 12,806.33 and 2,297.65 is: 3,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.98 : 12,806.33 = 2,297.65 : x
  2. Step 2: Convert to fraction form
    8,536.98/12,806.33 = 2,297.65/x
  3. Step 3: Cross multiply
    8,536.98x = 12,806.33 × 2,297.65
  4. Step 4: Simplify right side
    8,536.98x = 29,424,464.12
  5. Step 5: Solve for x
    x = 29,424,464.12/8,536.98
  6. Step 6: Final answer
    x = 3,446.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.