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Finding the Fourth Proportional to 11,589.64, 15,993.68 and 6,284.44

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Solution

The fourth proportional to 11,589.64, 15,993.68 and 6,284.44 is: 8,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.64 : 15,993.68 = 6,284.44 : x
  2. Step 2: Convert to fraction form
    11,589.64/15,993.68 = 6,284.44/x
  3. Step 3: Cross multiply
    11,589.64x = 15,993.68 × 6,284.44
  4. Step 4: Simplify right side
    11,589.64x = 100,511,322.34
  5. Step 5: Solve for x
    x = 100,511,322.34/11,589.64
  6. Step 6: Final answer
    x = 8,672.51

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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.