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Finding the Fourth Proportional to 8,144.89, 11,239.77 and 4,788.03

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Solution

The fourth proportional to 8,144.89, 11,239.77 and 4,788.03 is: 6,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.89 : 11,239.77 = 4,788.03 : x
  2. Step 2: Convert to fraction form
    8,144.89/11,239.77 = 4,788.03/x
  3. Step 3: Cross multiply
    8,144.89x = 11,239.77 × 4,788.03
  4. Step 4: Simplify right side
    8,144.89x = 53,816,355.95
  5. Step 5: Solve for x
    x = 53,816,355.95/8,144.89
  6. Step 6: Final answer
    x = 6,607.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.