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Finding the Fourth Proportional to 8,242.44, 12,363.55 and 2,002.50

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Solution

The fourth proportional to 8,242.44, 12,363.55 and 2,002.50 is: 3,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.44 : 12,363.55 = 2,002.50 : x
  2. Step 2: Convert to fraction form
    8,242.44/12,363.55 = 2,002.50/x
  3. Step 3: Cross multiply
    8,242.44x = 12,363.55 × 2,002.50
  4. Step 4: Simplify right side
    8,242.44x = 24,757,998.86
  5. Step 5: Solve for x
    x = 24,757,998.86/8,242.44
  6. Step 6: Final answer
    x = 3,003.72

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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.