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Finding the Fourth Proportional to 6,710.41, 10,020.43 and 5,480.26

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Solution

The fourth proportional to 6,710.41, 10,020.43 and 5,480.26 is: 8,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.41 : 10,020.43 = 5,480.26 : x
  2. Step 2: Convert to fraction form
    6,710.41/10,020.43 = 5,480.26/x
  3. Step 3: Cross multiply
    6,710.41x = 10,020.43 × 5,480.26
  4. Step 4: Simplify right side
    6,710.41x = 54,914,534.31
  5. Step 5: Solve for x
    x = 54,914,534.31/6,710.41
  6. Step 6: Final answer
    x = 8,183.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.