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Finding the Fourth Proportional to 8,242.99, 12,364.31 and 2,003.03

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Solution

The fourth proportional to 8,242.99, 12,364.31 and 2,003.03 is: 3,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.99 : 12,364.31 = 2,003.03 : x
  2. Step 2: Convert to fraction form
    8,242.99/12,364.31 = 2,003.03/x
  3. Step 3: Cross multiply
    8,242.99x = 12,364.31 × 2,003.03
  4. Step 4: Simplify right side
    8,242.99x = 24,766,078.85
  5. Step 5: Solve for x
    x = 24,766,078.85/8,242.99
  6. Step 6: Final answer
    x = 3,004.50

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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.