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Finding the Fourth Proportional to 11,846.03, 17,768.88 and 6,855.89

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Solution

The fourth proportional to 11,846.03, 17,768.88 and 6,855.89 is: 10,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.03 : 17,768.88 = 6,855.89 : x
  2. Step 2: Convert to fraction form
    11,846.03/17,768.88 = 6,855.89/x
  3. Step 3: Cross multiply
    11,846.03x = 17,768.88 × 6,855.89
  4. Step 4: Simplify right side
    11,846.03x = 121,821,486.70
  5. Step 5: Solve for x
    x = 121,821,486.70/11,846.03
  6. Step 6: Final answer
    x = 10,283.74

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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.