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Finding the Fourth Proportional to 11,718.36, 17,589.69 and 7,849.80

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Solution

The fourth proportional to 11,718.36, 17,589.69 and 7,849.80 is: 11,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.36 : 17,589.69 = 7,849.80 : x
  2. Step 2: Convert to fraction form
    11,718.36/17,589.69 = 7,849.80/x
  3. Step 3: Cross multiply
    11,718.36x = 17,589.69 × 7,849.80
  4. Step 4: Simplify right side
    11,718.36x = 138,075,548.56
  5. Step 5: Solve for x
    x = 138,075,548.56/11,718.36
  6. Step 6: Final answer
    x = 11,782.84

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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.