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Finding the Fourth Proportional to 11,186.59, 15,431.42 and 6,936.22

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Solution

The fourth proportional to 11,186.59, 15,431.42 and 6,936.22 is: 9,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.59 : 15,431.42 = 6,936.22 : x
  2. Step 2: Convert to fraction form
    11,186.59/15,431.42 = 6,936.22/x
  3. Step 3: Cross multiply
    11,186.59x = 15,431.42 × 6,936.22
  4. Step 4: Simplify right side
    11,186.59x = 107,035,724.03
  5. Step 5: Solve for x
    x = 107,035,724.03/11,186.59
  6. Step 6: Final answer
    x = 9,568.22

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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.