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Finding the Fourth Proportional to 10,791.44, 14,892.12 and 6,011.13

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Solution

The fourth proportional to 10,791.44, 14,892.12 and 6,011.13 is: 8,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.44 : 14,892.12 = 6,011.13 : x
  2. Step 2: Convert to fraction form
    10,791.44/14,892.12 = 6,011.13/x
  3. Step 3: Cross multiply
    10,791.44x = 14,892.12 × 6,011.13
  4. Step 4: Simplify right side
    10,791.44x = 89,518,469.30
  5. Step 5: Solve for x
    x = 89,518,469.30/10,791.44
  6. Step 6: Final answer
    x = 8,295.33

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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.