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Finding the Fourth Proportional to 8,839.89, 13,257 and 8,257.50

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Solution

The fourth proportional to 8,839.89, 13,257 and 8,257.50 is: 12,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,839.89 : 13,257 = 8,257.50 : x
  2. Step 2: Convert to fraction form
    8,839.89/13,257 = 8,257.50/x
  3. Step 3: Cross multiply
    8,839.89x = 13,257 × 8,257.50
  4. Step 4: Simplify right side
    8,839.89x = 109,469,677.50
  5. Step 5: Solve for x
    x = 109,469,677.50/8,839.89
  6. Step 6: Final answer
    x = 12,383.60

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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.