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Finding the Fourth Proportional to 7,918.23, 10,918.22 and 5,922.39

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Solution

The fourth proportional to 7,918.23, 10,918.22 and 5,922.39 is: 8,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.23 : 10,918.22 = 5,922.39 : x
  2. Step 2: Convert to fraction form
    7,918.23/10,918.22 = 5,922.39/x
  3. Step 3: Cross multiply
    7,918.23x = 10,918.22 × 5,922.39
  4. Step 4: Simplify right side
    7,918.23x = 64,661,927.33
  5. Step 5: Solve for x
    x = 64,661,927.33/7,918.23
  6. Step 6: Final answer
    x = 8,166.21

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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.