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Finding the Fourth Proportional to 8,447.94, 11,662.82 and 5,091.57

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Solution

The fourth proportional to 8,447.94, 11,662.82 and 5,091.57 is: 7,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.94 : 11,662.82 = 5,091.57 : x
  2. Step 2: Convert to fraction form
    8,447.94/11,662.82 = 5,091.57/x
  3. Step 3: Cross multiply
    8,447.94x = 11,662.82 × 5,091.57
  4. Step 4: Simplify right side
    8,447.94x = 59,382,038.97
  5. Step 5: Solve for x
    x = 59,382,038.97/8,447.94
  6. Step 6: Final answer
    x = 7,029.17

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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.