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Finding the Fourth Proportional to 11,976.63, 16,526.49 and 6,942.43

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Solution

The fourth proportional to 11,976.63, 16,526.49 and 6,942.43 is: 9,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.63 : 16,526.49 = 6,942.43 : x
  2. Step 2: Convert to fraction form
    11,976.63/16,526.49 = 6,942.43/x
  3. Step 3: Cross multiply
    11,976.63x = 16,526.49 × 6,942.43
  4. Step 4: Simplify right side
    11,976.63x = 114,733,965.26
  5. Step 5: Solve for x
    x = 114,733,965.26/11,976.63
  6. Step 6: Final answer
    x = 9,579.82

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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.