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Finding the Fourth Proportional to 7,343.66, 11,015.50 and 2,149.54

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Solution

The fourth proportional to 7,343.66, 11,015.50 and 2,149.54 is: 3,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.66 : 11,015.50 = 2,149.54 : x
  2. Step 2: Convert to fraction form
    7,343.66/11,015.50 = 2,149.54/x
  3. Step 3: Cross multiply
    7,343.66x = 11,015.50 × 2,149.54
  4. Step 4: Simplify right side
    7,343.66x = 23,678,257.87
  5. Step 5: Solve for x
    x = 23,678,257.87/7,343.66
  6. Step 6: Final answer
    x = 3,224.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.