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Finding the Fourth Proportional to 7,143.41, 10,722.03 and 3,448.24

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Solution

The fourth proportional to 7,143.41, 10,722.03 and 3,448.24 is: 5,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.41 : 10,722.03 = 3,448.24 : x
  2. Step 2: Convert to fraction form
    7,143.41/10,722.03 = 3,448.24/x
  3. Step 3: Cross multiply
    7,143.41x = 10,722.03 × 3,448.24
  4. Step 4: Simplify right side
    7,143.41x = 36,972,092.99
  5. Step 5: Solve for x
    x = 36,972,092.99/7,143.41
  6. Step 6: Final answer
    x = 5,175.69

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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.