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Finding the Fourth Proportional to 8,243.94, 12,365.80 and 2,004

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Solution

The fourth proportional to 8,243.94, 12,365.80 and 2,004 is: 3,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.94 : 12,365.80 = 2,004 : x
  2. Step 2: Convert to fraction form
    8,243.94/12,365.80 = 2,004/x
  3. Step 3: Cross multiply
    8,243.94x = 12,365.80 × 2,004
  4. Step 4: Simplify right side
    8,243.94x = 24,781,063.20
  5. Step 5: Solve for x
    x = 24,781,063.20/8,243.94
  6. Step 6: Final answer
    x = 3,005.97

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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.