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Finding the Fourth Proportional to 8,380.40, 12,570.24 and 2,224.40

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Solution

The fourth proportional to 8,380.40, 12,570.24 and 2,224.40 is: 3,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.40 : 12,570.24 = 2,224.40 : x
  2. Step 2: Convert to fraction form
    8,380.40/12,570.24 = 2,224.40/x
  3. Step 3: Cross multiply
    8,380.40x = 12,570.24 × 2,224.40
  4. Step 4: Simplify right side
    8,380.40x = 27,961,241.86
  5. Step 5: Solve for x
    x = 27,961,241.86/8,380.40
  6. Step 6: Final answer
    x = 3,336.50

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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.