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Finding the Fourth Proportional to 11,944.56, 16,483.64 and 7,471

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Solution

The fourth proportional to 11,944.56, 16,483.64 and 7,471 is: 10,310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.56 : 16,483.64 = 7,471 : x
  2. Step 2: Convert to fraction form
    11,944.56/16,483.64 = 7,471/x
  3. Step 3: Cross multiply
    11,944.56x = 16,483.64 × 7,471
  4. Step 4: Simplify right side
    11,944.56x = 123,149,274.44
  5. Step 5: Solve for x
    x = 123,149,274.44/11,944.56
  6. Step 6: Final answer
    x = 10,310.07

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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.