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Finding the Fourth Proportional to 11,388.36, 15,716.52 and 8,589

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Solution

The fourth proportional to 11,388.36, 15,716.52 and 8,589 is: 11,853.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388.36 : 15,716.52 = 8,589 : x
  2. Step 2: Convert to fraction form
    11,388.36/15,716.52 = 8,589/x
  3. Step 3: Cross multiply
    11,388.36x = 15,716.52 × 8,589
  4. Step 4: Simplify right side
    11,388.36x = 134,989,190.28
  5. Step 5: Solve for x
    x = 134,989,190.28/11,388.36
  6. Step 6: Final answer
    x = 11,853.26

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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.