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Finding the Fourth Proportional to 6,831.92, 10,241.40 and 3,365.12

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Solution

The fourth proportional to 6,831.92, 10,241.40 and 3,365.12 is: 5,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.92 : 10,241.40 = 3,365.12 : x
  2. Step 2: Convert to fraction form
    6,831.92/10,241.40 = 3,365.12/x
  3. Step 3: Cross multiply
    6,831.92x = 10,241.40 × 3,365.12
  4. Step 4: Simplify right side
    6,831.92x = 34,463,539.97
  5. Step 5: Solve for x
    x = 34,463,539.97/6,831.92
  6. Step 6: Final answer
    x = 5,044.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.