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Finding the Fourth Proportional to 7,260.70, 10,022.83 and 4,906.03

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Solution

The fourth proportional to 7,260.70, 10,022.83 and 4,906.03 is: 6,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.70 : 10,022.83 = 4,906.03 : x
  2. Step 2: Convert to fraction form
    7,260.70/10,022.83 = 4,906.03/x
  3. Step 3: Cross multiply
    7,260.70x = 10,022.83 × 4,906.03
  4. Step 4: Simplify right side
    7,260.70x = 49,172,304.66
  5. Step 5: Solve for x
    x = 49,172,304.66/7,260.70
  6. Step 6: Final answer
    x = 6,772.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.