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Finding the Fourth Proportional to 10,711.98, 14,782.53 and 5,996.28

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Solution

The fourth proportional to 10,711.98, 14,782.53 and 5,996.28 is: 8,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.98 : 14,782.53 = 5,996.28 : x
  2. Step 2: Convert to fraction form
    10,711.98/14,782.53 = 5,996.28/x
  3. Step 3: Cross multiply
    10,711.98x = 14,782.53 × 5,996.28
  4. Step 4: Simplify right side
    10,711.98x = 88,640,188.99
  5. Step 5: Solve for x
    x = 88,640,188.99/10,711.98
  6. Step 6: Final answer
    x = 8,274.87

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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.