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Finding the Fourth Proportional to 8,224.36, 12,336.60 and 2,381

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Solution

The fourth proportional to 8,224.36, 12,336.60 and 2,381 is: 3,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.36 : 12,336.60 = 2,381 : x
  2. Step 2: Convert to fraction form
    8,224.36/12,336.60 = 2,381/x
  3. Step 3: Cross multiply
    8,224.36x = 12,336.60 × 2,381
  4. Step 4: Simplify right side
    8,224.36x = 29,373,444.60
  5. Step 5: Solve for x
    x = 29,373,444.60/8,224.36
  6. Step 6: Final answer
    x = 3,571.52

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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.