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Finding the Fourth Proportional to 8,537.17, 12,806.63 and 2,297.24

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Solution

The fourth proportional to 8,537.17, 12,806.63 and 2,297.24 is: 3,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.17 : 12,806.63 = 2,297.24 : x
  2. Step 2: Convert to fraction form
    8,537.17/12,806.63 = 2,297.24/x
  3. Step 3: Cross multiply
    8,537.17x = 12,806.63 × 2,297.24
  4. Step 4: Simplify right side
    8,537.17x = 29,419,854.26
  5. Step 5: Solve for x
    x = 29,419,854.26/8,537.17
  6. Step 6: Final answer
    x = 3,446.09

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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.