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Finding the Fourth Proportional to 7,917.93, 10,922.18 and 5,123.43

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Solution

The fourth proportional to 7,917.93, 10,922.18 and 5,123.43 is: 7,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.93 : 10,922.18 = 5,123.43 : x
  2. Step 2: Convert to fraction form
    7,917.93/10,922.18 = 5,123.43/x
  3. Step 3: Cross multiply
    7,917.93x = 10,922.18 × 5,123.43
  4. Step 4: Simplify right side
    7,917.93x = 55,958,999.06
  5. Step 5: Solve for x
    x = 55,958,999.06/7,917.93
  6. Step 6: Final answer
    x = 7,067.38

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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.