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Finding the Fourth Proportional to 10,718.38, 14,791.33 and 5,938.57

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Solution

The fourth proportional to 10,718.38, 14,791.33 and 5,938.57 is: 8,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718.38 : 14,791.33 = 5,938.57 : x
  2. Step 2: Convert to fraction form
    10,718.38/14,791.33 = 5,938.57/x
  3. Step 3: Cross multiply
    10,718.38x = 14,791.33 × 5,938.57
  4. Step 4: Simplify right side
    10,718.38x = 87,839,308.01
  5. Step 5: Solve for x
    x = 87,839,308.01/10,718.38
  6. Step 6: Final answer
    x = 8,195.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.