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Finding the Fourth Proportional to 8,112.84, 11,179.09 and 5,985

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Solution

The fourth proportional to 8,112.84, 11,179.09 and 5,985 is: 8,247.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.84 : 11,179.09 = 5,985 : x
  2. Step 2: Convert to fraction form
    8,112.84/11,179.09 = 5,985/x
  3. Step 3: Cross multiply
    8,112.84x = 11,179.09 × 5,985
  4. Step 4: Simplify right side
    8,112.84x = 66,906,853.65
  5. Step 5: Solve for x
    x = 66,906,853.65/8,112.84
  6. Step 6: Final answer
    x = 8,247.03

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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.