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Finding the Fourth Proportional to 11,297.25, 15,589.08 and 6,517.63

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Solution

The fourth proportional to 11,297.25, 15,589.08 and 6,517.63 is: 8,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.25 : 15,589.08 = 6,517.63 : x
  2. Step 2: Convert to fraction form
    11,297.25/15,589.08 = 6,517.63/x
  3. Step 3: Cross multiply
    11,297.25x = 15,589.08 × 6,517.63
  4. Step 4: Simplify right side
    11,297.25x = 101,603,855.48
  5. Step 5: Solve for x
    x = 101,603,855.48/11,297.25
  6. Step 6: Final answer
    x = 8,993.68

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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.