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Finding the Fourth Proportional to 8,087.97, 11,163.51 and 4,946.79

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Solution

The fourth proportional to 8,087.97, 11,163.51 and 4,946.79 is: 6,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087.97 : 11,163.51 = 4,946.79 : x
  2. Step 2: Convert to fraction form
    8,087.97/11,163.51 = 4,946.79/x
  3. Step 3: Cross multiply
    8,087.97x = 11,163.51 × 4,946.79
  4. Step 4: Simplify right side
    8,087.97x = 55,223,539.63
  5. Step 5: Solve for x
    x = 55,223,539.63/8,087.97
  6. Step 6: Final answer
    x = 6,827.86

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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.