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Finding the Fourth Proportional to 7,143.46, 10,722.09 and 3,448.29

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Solution

The fourth proportional to 7,143.46, 10,722.09 and 3,448.29 is: 5,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.46 : 10,722.09 = 3,448.29 : x
  2. Step 2: Convert to fraction form
    7,143.46/10,722.09 = 3,448.29/x
  3. Step 3: Cross multiply
    7,143.46x = 10,722.09 × 3,448.29
  4. Step 4: Simplify right side
    7,143.46x = 36,972,830.74
  5. Step 5: Solve for x
    x = 36,972,830.74/7,143.46
  6. Step 6: Final answer
    x = 5,175.76

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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.