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Finding the Fourth Proportional to 10,711.44, 14,782.44 and 5,996.08

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Solution

The fourth proportional to 10,711.44, 14,782.44 and 5,996.08 is: 8,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.44 : 14,782.44 = 5,996.08 : x
  2. Step 2: Convert to fraction form
    10,711.44/14,782.44 = 5,996.08/x
  3. Step 3: Cross multiply
    10,711.44x = 14,782.44 × 5,996.08
  4. Step 4: Simplify right side
    10,711.44x = 88,636,692.84
  5. Step 5: Solve for x
    x = 88,636,692.84/10,711.44
  6. Step 6: Final answer
    x = 8,274.96

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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.