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Finding the Fourth Proportional to 10,638.81, 14,680.97 and 5,857.82

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Solution

The fourth proportional to 10,638.81, 14,680.97 and 5,857.82 is: 8,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.81 : 14,680.97 = 5,857.82 : x
  2. Step 2: Convert to fraction form
    10,638.81/14,680.97 = 5,857.82/x
  3. Step 3: Cross multiply
    10,638.81x = 14,680.97 × 5,857.82
  4. Step 4: Simplify right side
    10,638.81x = 85,998,479.69
  5. Step 5: Solve for x
    x = 85,998,479.69/10,638.81
  6. Step 6: Final answer
    x = 8,083.47

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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.