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Finding the Fourth Proportional to 11,297.75, 15,589.77 and 6,518.13

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Solution

The fourth proportional to 11,297.75, 15,589.77 and 6,518.13 is: 8,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.75 : 15,589.77 = 6,518.13 : x
  2. Step 2: Convert to fraction form
    11,297.75/15,589.77 = 6,518.13/x
  3. Step 3: Cross multiply
    11,297.75x = 15,589.77 × 6,518.13
  4. Step 4: Simplify right side
    11,297.75x = 101,616,147.53
  5. Step 5: Solve for x
    x = 101,616,147.53/11,297.75
  6. Step 6: Final answer
    x = 8,994.37

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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.