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Finding the Fourth Proportional to 11,944.68, 16,480.98 and 7,228.92

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Solution

The fourth proportional to 11,944.68, 16,480.98 and 7,228.92 is: 9,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.68 : 16,480.98 = 7,228.92 : x
  2. Step 2: Convert to fraction form
    11,944.68/16,480.98 = 7,228.92/x
  3. Step 3: Cross multiply
    11,944.68x = 16,480.98 × 7,228.92
  4. Step 4: Simplify right side
    11,944.68x = 119,139,685.94
  5. Step 5: Solve for x
    x = 119,139,685.94/11,944.68
  6. Step 6: Final answer
    x = 9,974.29

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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.