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Finding the Fourth Proportional to 7,936.25, 11,877.84 and 7,831.35

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Solution

The fourth proportional to 7,936.25, 11,877.84 and 7,831.35 is: 11,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.25 : 11,877.84 = 7,831.35 : x
  2. Step 2: Convert to fraction form
    7,936.25/11,877.84 = 7,831.35/x
  3. Step 3: Cross multiply
    7,936.25x = 11,877.84 × 7,831.35
  4. Step 4: Simplify right side
    7,936.25x = 93,019,522.28
  5. Step 5: Solve for x
    x = 93,019,522.28/7,936.25
  6. Step 6: Final answer
    x = 11,720.85

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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.