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Finding the Fourth Proportional to 8,544.62, 12,819 and 4,161.08

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Solution

The fourth proportional to 8,544.62, 12,819 and 4,161.08 is: 6,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.62 : 12,819 = 4,161.08 : x
  2. Step 2: Convert to fraction form
    8,544.62/12,819 = 4,161.08/x
  3. Step 3: Cross multiply
    8,544.62x = 12,819 × 4,161.08
  4. Step 4: Simplify right side
    8,544.62x = 53,340,820.43
  5. Step 5: Solve for x
    x = 53,340,820.43/8,544.62
  6. Step 6: Final answer
    x = 6,242.62

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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.