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Finding the Fourth Proportional to 8,684.01, 13,027.23 and 2,839.46

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Solution

The fourth proportional to 8,684.01, 13,027.23 and 2,839.46 is: 4,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.01 : 13,027.23 = 2,839.46 : x
  2. Step 2: Convert to fraction form
    8,684.01/13,027.23 = 2,839.46/x
  3. Step 3: Cross multiply
    8,684.01x = 13,027.23 × 2,839.46
  4. Step 4: Simplify right side
    8,684.01x = 36,990,233.36
  5. Step 5: Solve for x
    x = 36,990,233.36/8,684.01
  6. Step 6: Final answer
    x = 4,259.58

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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.