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Finding the Fourth Proportional to 8,383.03, 12,576.17 and 3,188.50

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Solution

The fourth proportional to 8,383.03, 12,576.17 and 3,188.50 is: 4,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.03 : 12,576.17 = 3,188.50 : x
  2. Step 2: Convert to fraction form
    8,383.03/12,576.17 = 3,188.50/x
  3. Step 3: Cross multiply
    8,383.03x = 12,576.17 × 3,188.50
  4. Step 4: Simplify right side
    8,383.03x = 40,099,118.05
  5. Step 5: Solve for x
    x = 40,099,118.05/8,383.03
  6. Step 6: Final answer
    x = 4,783.37

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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.