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Finding the Fourth Proportional to 27,777.12, 41,665.32 and 6,717

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Solution

The fourth proportional to 27,777.12, 41,665.32 and 6,717 is: 10,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,777.12 : 41,665.32 = 6,717 : x
  2. Step 2: Convert to fraction form
    27,777.12/41,665.32 = 6,717/x
  3. Step 3: Cross multiply
    27,777.12x = 41,665.32 × 6,717
  4. Step 4: Simplify right side
    27,777.12x = 279,865,954.44
  5. Step 5: Solve for x
    x = 279,865,954.44/27,777.12
  6. Step 6: Final answer
    x = 10,075.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.