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Finding the Fourth Proportional to 8,383.36, 12,629.44 and 7,975.84

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Solution

The fourth proportional to 8,383.36, 12,629.44 and 7,975.84 is: 12,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.36 : 12,629.44 = 7,975.84 : x
  2. Step 2: Convert to fraction form
    8,383.36/12,629.44 = 7,975.84/x
  3. Step 3: Cross multiply
    8,383.36x = 12,629.44 × 7,975.84
  4. Step 4: Simplify right side
    8,383.36x = 100,730,392.73
  5. Step 5: Solve for x
    x = 100,730,392.73/8,383.36
  6. Step 6: Final answer
    x = 12,015.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.