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Finding the Fourth Proportional to 7,164.78, 10,751.09 and 2,782.41

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Solution

The fourth proportional to 7,164.78, 10,751.09 and 2,782.41 is: 4,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.78 : 10,751.09 = 2,782.41 : x
  2. Step 2: Convert to fraction form
    7,164.78/10,751.09 = 2,782.41/x
  3. Step 3: Cross multiply
    7,164.78x = 10,751.09 × 2,782.41
  4. Step 4: Simplify right side
    7,164.78x = 29,913,940.33
  5. Step 5: Solve for x
    x = 29,913,940.33/7,164.78
  6. Step 6: Final answer
    x = 4,175.14

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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.