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Finding the Fourth Proportional to 8,427.27, 11,629.62 and 4,891.17

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Solution

The fourth proportional to 8,427.27, 11,629.62 and 4,891.17 is: 6,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.27 : 11,629.62 = 4,891.17 : x
  2. Step 2: Convert to fraction form
    8,427.27/11,629.62 = 4,891.17/x
  3. Step 3: Cross multiply
    8,427.27x = 11,629.62 × 4,891.17
  4. Step 4: Simplify right side
    8,427.27x = 56,882,448.46
  5. Step 5: Solve for x
    x = 56,882,448.46/8,427.27
  6. Step 6: Final answer
    x = 6,749.81

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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.