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Finding the Fourth Proportional to 6,831.96, 10,248 and 2,936.40

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Solution

The fourth proportional to 6,831.96, 10,248 and 2,936.40 is: 4,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.96 : 10,248 = 2,936.40 : x
  2. Step 2: Convert to fraction form
    6,831.96/10,248 = 2,936.40/x
  3. Step 3: Cross multiply
    6,831.96x = 10,248 × 2,936.40
  4. Step 4: Simplify right side
    6,831.96x = 30,092,227.20
  5. Step 5: Solve for x
    x = 30,092,227.20/6,831.96
  6. Step 6: Final answer
    x = 4,404.63

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