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Finding the Fourth Proportional to 11,791.37, 16,271.76 and 6,486.19

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Solution

The fourth proportional to 11,791.37, 16,271.76 and 6,486.19 is: 8,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.37 : 16,271.76 = 6,486.19 : x
  2. Step 2: Convert to fraction form
    11,791.37/16,271.76 = 6,486.19/x
  3. Step 3: Cross multiply
    11,791.37x = 16,271.76 × 6,486.19
  4. Step 4: Simplify right side
    11,791.37x = 105,541,715.28
  5. Step 5: Solve for x
    x = 105,541,715.28/11,791.37
  6. Step 6: Final answer
    x = 8,950.76

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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.