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Finding the Fourth Proportional to 12,002.88, 17,989.21 and 5,757.78

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Solution

The fourth proportional to 12,002.88, 17,989.21 and 5,757.78 is: 8,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.88 : 17,989.21 = 5,757.78 : x
  2. Step 2: Convert to fraction form
    12,002.88/17,989.21 = 5,757.78/x
  3. Step 3: Cross multiply
    12,002.88x = 17,989.21 × 5,757.78
  4. Step 4: Simplify right side
    12,002.88x = 103,577,955.82
  5. Step 5: Solve for x
    x = 103,577,955.82/12,002.88
  6. Step 6: Final answer
    x = 8,629.42

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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.