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Finding the Fourth Proportional to 8,242.83, 12,364.11 and 2,002.89

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Solution

The fourth proportional to 8,242.83, 12,364.11 and 2,002.89 is: 3,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.83 : 12,364.11 = 2,002.89 : x
  2. Step 2: Convert to fraction form
    8,242.83/12,364.11 = 2,002.89/x
  3. Step 3: Cross multiply
    8,242.83x = 12,364.11 × 2,002.89
  4. Step 4: Simplify right side
    8,242.83x = 24,763,952.28
  5. Step 5: Solve for x
    x = 24,763,952.28/8,242.83
  6. Step 6: Final answer
    x = 3,004.30

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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.