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Finding the Fourth Proportional to 11,378.92, 17,076.07 and 3,983.45

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Solution

The fourth proportional to 11,378.92, 17,076.07 and 3,983.45 is: 5,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.92 : 17,076.07 = 3,983.45 : x
  2. Step 2: Convert to fraction form
    11,378.92/17,076.07 = 3,983.45/x
  3. Step 3: Cross multiply
    11,378.92x = 17,076.07 × 3,983.45
  4. Step 4: Simplify right side
    11,378.92x = 68,021,671.04
  5. Step 5: Solve for x
    x = 68,021,671.04/11,378.92
  6. Step 6: Final answer
    x = 5,977.87

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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.