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Finding the Fourth Proportional to 8,273.97, 11,419.29 and 5,131.17

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Solution

The fourth proportional to 8,273.97, 11,419.29 and 5,131.17 is: 7,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.97 : 11,419.29 = 5,131.17 : x
  2. Step 2: Convert to fraction form
    8,273.97/11,419.29 = 5,131.17/x
  3. Step 3: Cross multiply
    8,273.97x = 11,419.29 × 5,131.17
  4. Step 4: Simplify right side
    8,273.97x = 58,594,318.27
  5. Step 5: Solve for x
    x = 58,594,318.27/8,273.97
  6. Step 6: Final answer
    x = 7,081.77

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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.