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Finding the Fourth Proportional to 11,589.44, 15,993.42 and 6,284.25

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Solution

The fourth proportional to 11,589.44, 15,993.42 and 6,284.25 is: 8,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.44 : 15,993.42 = 6,284.25 : x
  2. Step 2: Convert to fraction form
    11,589.44/15,993.42 = 6,284.25/x
  3. Step 3: Cross multiply
    11,589.44x = 15,993.42 × 6,284.25
  4. Step 4: Simplify right side
    11,589.44x = 100,506,649.64
  5. Step 5: Solve for x
    x = 100,506,649.64/11,589.44
  6. Step 6: Final answer
    x = 8,672.26

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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.