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Finding the Fourth Proportional to 8,388.50, 12,584.33 and 2,840.34

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Solution

The fourth proportional to 8,388.50, 12,584.33 and 2,840.34 is: 4,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.50 : 12,584.33 = 2,840.34 : x
  2. Step 2: Convert to fraction form
    8,388.50/12,584.33 = 2,840.34/x
  3. Step 3: Cross multiply
    8,388.50x = 12,584.33 × 2,840.34
  4. Step 4: Simplify right side
    8,388.50x = 35,743,819.51
  5. Step 5: Solve for x
    x = 35,743,819.51/8,388.50
  6. Step 6: Final answer
    x = 4,261.05

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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.