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Finding the Fourth Proportional to 8,282.63, 11,434.26 and 6,389.97

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Solution

The fourth proportional to 8,282.63, 11,434.26 and 6,389.97 is: 8,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.63 : 11,434.26 = 6,389.97 : x
  2. Step 2: Convert to fraction form
    8,282.63/11,434.26 = 6,389.97/x
  3. Step 3: Cross multiply
    8,282.63x = 11,434.26 × 6,389.97
  4. Step 4: Simplify right side
    8,282.63x = 73,064,578.37
  5. Step 5: Solve for x
    x = 73,064,578.37/8,282.63
  6. Step 6: Final answer
    x = 8,821.43

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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.