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Finding the Fourth Proportional to 7,938.56, 10,944.82 and 6,831.38

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Solution

The fourth proportional to 7,938.56, 10,944.82 and 6,831.38 is: 9,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.56 : 10,944.82 = 6,831.38 : x
  2. Step 2: Convert to fraction form
    7,938.56/10,944.82 = 6,831.38/x
  3. Step 3: Cross multiply
    7,938.56x = 10,944.82 × 6,831.38
  4. Step 4: Simplify right side
    7,938.56x = 74,768,224.45
  5. Step 5: Solve for x
    x = 74,768,224.45/7,938.56
  6. Step 6: Final answer
    x = 9,418.36

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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.