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Finding the Fourth Proportional to 10,084.94, 13,931.44 and 8,081.66

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Solution

The fourth proportional to 10,084.94, 13,931.44 and 8,081.66 is: 11,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.94 : 13,931.44 = 8,081.66 : x
  2. Step 2: Convert to fraction form
    10,084.94/13,931.44 = 8,081.66/x
  3. Step 3: Cross multiply
    10,084.94x = 13,931.44 × 8,081.66
  4. Step 4: Simplify right side
    10,084.94x = 112,589,161.39
  5. Step 5: Solve for x
    x = 112,589,161.39/10,084.94
  6. Step 6: Final answer
    x = 11,164.09

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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.