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Finding the Fourth Proportional to 8,323.94, 12,487.80 and 2,480.06

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Solution

The fourth proportional to 8,323.94, 12,487.80 and 2,480.06 is: 3,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.94 : 12,487.80 = 2,480.06 : x
  2. Step 2: Convert to fraction form
    8,323.94/12,487.80 = 2,480.06/x
  3. Step 3: Cross multiply
    8,323.94x = 12,487.80 × 2,480.06
  4. Step 4: Simplify right side
    8,323.94x = 30,970,493.27
  5. Step 5: Solve for x
    x = 30,970,493.27/8,323.94
  6. Step 6: Final answer
    x = 3,720.65

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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.