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Finding the Fourth Proportional to 8,537.87, 12,802.97 and 3,269.19

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Solution

The fourth proportional to 8,537.87, 12,802.97 and 3,269.19 is: 4,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.87 : 12,802.97 = 3,269.19 : x
  2. Step 2: Convert to fraction form
    8,537.87/12,802.97 = 3,269.19/x
  3. Step 3: Cross multiply
    8,537.87x = 12,802.97 × 3,269.19
  4. Step 4: Simplify right side
    8,537.87x = 41,855,325.15
  5. Step 5: Solve for x
    x = 41,855,325.15/8,537.87
  6. Step 6: Final answer
    x = 4,902.32

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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.