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Finding the Fourth Proportional to 11,589.49, 17,382.03 and 3,267.46

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Solution

The fourth proportional to 11,589.49, 17,382.03 and 3,267.46 is: 4,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.49 : 17,382.03 = 3,267.46 : x
  2. Step 2: Convert to fraction form
    11,589.49/17,382.03 = 3,267.46/x
  3. Step 3: Cross multiply
    11,589.49x = 17,382.03 × 3,267.46
  4. Step 4: Simplify right side
    11,589.49x = 56,795,087.74
  5. Step 5: Solve for x
    x = 56,795,087.74/11,589.49
  6. Step 6: Final answer
    x = 4,900.57

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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.