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Finding the Fourth Proportional to 7,544.36, 11,314.14 and 3,161

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Solution

The fourth proportional to 7,544.36, 11,314.14 and 3,161 is: 4,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.36 : 11,314.14 = 3,161 : x
  2. Step 2: Convert to fraction form
    7,544.36/11,314.14 = 3,161/x
  3. Step 3: Cross multiply
    7,544.36x = 11,314.14 × 3,161
  4. Step 4: Simplify right side
    7,544.36x = 35,763,996.54
  5. Step 5: Solve for x
    x = 35,763,996.54/7,544.36
  6. Step 6: Final answer
    x = 4,740.49

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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.