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Finding the Fourth Proportional to 8,380.35, 12,564.86 and 4,001.49

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Solution

The fourth proportional to 8,380.35, 12,564.86 and 4,001.49 is: 5,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.35 : 12,564.86 = 4,001.49 : x
  2. Step 2: Convert to fraction form
    8,380.35/12,564.86 = 4,001.49/x
  3. Step 3: Cross multiply
    8,380.35x = 12,564.86 × 4,001.49
  4. Step 4: Simplify right side
    8,380.35x = 50,278,141.63
  5. Step 5: Solve for x
    x = 50,278,141.63/8,380.35
  6. Step 6: Final answer
    x = 5,999.53

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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.