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Finding the Fourth Proportional to 8,161.87, 12,244.94 and 3,482.14

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Solution

The fourth proportional to 8,161.87, 12,244.94 and 3,482.14 is: 5,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.87 : 12,244.94 = 3,482.14 : x
  2. Step 2: Convert to fraction form
    8,161.87/12,244.94 = 3,482.14/x
  3. Step 3: Cross multiply
    8,161.87x = 12,244.94 × 3,482.14
  4. Step 4: Simplify right side
    8,161.87x = 42,638,516.74
  5. Step 5: Solve for x
    x = 42,638,516.74/8,161.87
  6. Step 6: Final answer
    x = 5,224.11

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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.