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Finding the Fourth Proportional to 7,143.78, 10,722.59 and 3,448.62

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Solution

The fourth proportional to 7,143.78, 10,722.59 and 3,448.62 is: 5,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.78 : 10,722.59 = 3,448.62 : x
  2. Step 2: Convert to fraction form
    7,143.78/10,722.59 = 3,448.62/x
  3. Step 3: Cross multiply
    7,143.78x = 10,722.59 × 3,448.62
  4. Step 4: Simplify right side
    7,143.78x = 36,978,121.08
  5. Step 5: Solve for x
    x = 36,978,121.08/7,143.78
  6. Step 6: Final answer
    x = 5,176.27

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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.