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Finding the Fourth Proportional to 10,717.75, 14,791.31 and 6,002.34

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Solution

The fourth proportional to 10,717.75, 14,791.31 and 6,002.34 is: 8,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.75 : 14,791.31 = 6,002.34 : x
  2. Step 2: Convert to fraction form
    10,717.75/14,791.31 = 6,002.34/x
  3. Step 3: Cross multiply
    10,717.75x = 14,791.31 × 6,002.34
  4. Step 4: Simplify right side
    10,717.75x = 88,782,471.67
  5. Step 5: Solve for x
    x = 88,782,471.67/10,717.75
  6. Step 6: Final answer
    x = 8,283.69

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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.