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Finding the Fourth Proportional to 7,939.07, 10,958.75 and 5,419.38

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Solution

The fourth proportional to 7,939.07, 10,958.75 and 5,419.38 is: 7,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,939.07 : 10,958.75 = 5,419.38 : x
  2. Step 2: Convert to fraction form
    7,939.07/10,958.75 = 5,419.38/x
  3. Step 3: Cross multiply
    7,939.07x = 10,958.75 × 5,419.38
  4. Step 4: Simplify right side
    7,939.07x = 59,389,603.48
  5. Step 5: Solve for x
    x = 59,389,603.48/7,939.07
  6. Step 6: Final answer
    x = 7,480.68

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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.