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Finding the Fourth Proportional to 8,286.71, 11,434.77 and 4,749.84

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Solution

The fourth proportional to 8,286.71, 11,434.77 and 4,749.84 is: 6,554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.71 : 11,434.77 = 4,749.84 : x
  2. Step 2: Convert to fraction form
    8,286.71/11,434.77 = 4,749.84/x
  3. Step 3: Cross multiply
    8,286.71x = 11,434.77 × 4,749.84
  4. Step 4: Simplify right side
    8,286.71x = 54,313,327.94
  5. Step 5: Solve for x
    x = 54,313,327.94/8,286.71
  6. Step 6: Final answer
    x = 6,554.27

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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.