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Finding the Fourth Proportional to 7,972.54, 11,951.06 and 3,811.47

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Solution

The fourth proportional to 7,972.54, 11,951.06 and 3,811.47 is: 5,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.54 : 11,951.06 = 3,811.47 : x
  2. Step 2: Convert to fraction form
    7,972.54/11,951.06 = 3,811.47/x
  3. Step 3: Cross multiply
    7,972.54x = 11,951.06 × 3,811.47
  4. Step 4: Simplify right side
    7,972.54x = 45,551,087.60
  5. Step 5: Solve for x
    x = 45,551,087.60/7,972.54
  6. Step 6: Final answer
    x = 5,713.50

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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.