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Finding the Fourth Proportional to 8,170, 11,274.78 and 4,444

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Solution

The fourth proportional to 8,170, 11,274.78 and 4,444 is: 6,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170 : 11,274.78 = 4,444 : x
  2. Step 2: Convert to fraction form
    8,170/11,274.78 = 4,444/x
  3. Step 3: Cross multiply
    8,170x = 11,274.78 × 4,444
  4. Step 4: Simplify right side
    8,170x = 50,105,122.32
  5. Step 5: Solve for x
    x = 50,105,122.32/8,170
  6. Step 6: Final answer
    x = 6,132.82

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