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Finding the Fourth Proportional to 7,047.78, 10,571.13 and 3,344.46

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Solution

The fourth proportional to 7,047.78, 10,571.13 and 3,344.46 is: 5,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.78 : 10,571.13 = 3,344.46 : x
  2. Step 2: Convert to fraction form
    7,047.78/10,571.13 = 3,344.46/x
  3. Step 3: Cross multiply
    7,047.78x = 10,571.13 × 3,344.46
  4. Step 4: Simplify right side
    7,047.78x = 35,354,721.44
  5. Step 5: Solve for x
    x = 35,354,721.44/7,047.78
  6. Step 6: Final answer
    x = 5,016.43

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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.