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Finding the Fourth Proportional to 11,321.92, 16,980.96 and 3,112

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Solution

The fourth proportional to 11,321.92, 16,980.96 and 3,112 is: 4,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.92 : 16,980.96 = 3,112 : x
  2. Step 2: Convert to fraction form
    11,321.92/16,980.96 = 3,112/x
  3. Step 3: Cross multiply
    11,321.92x = 16,980.96 × 3,112
  4. Step 4: Simplify right side
    11,321.92x = 52,844,747.52
  5. Step 5: Solve for x
    x = 52,844,747.52/11,321.92
  6. Step 6: Final answer
    x = 4,667.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.