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Finding the Fourth Proportional to 11,791.46, 16,271.61 and 6,486.14

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Solution

The fourth proportional to 11,791.46, 16,271.61 and 6,486.14 is: 8,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.46 : 16,271.61 = 6,486.14 : x
  2. Step 2: Convert to fraction form
    11,791.46/16,271.61 = 6,486.14/x
  3. Step 3: Cross multiply
    11,791.46x = 16,271.61 × 6,486.14
  4. Step 4: Simplify right side
    11,791.46x = 105,539,940.49
  5. Step 5: Solve for x
    x = 105,539,940.49/11,791.46
  6. Step 6: Final answer
    x = 8,950.54

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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.