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Finding the Fourth Proportional to 10,920.94, 16,381.41 and 3,129.75

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Solution

The fourth proportional to 10,920.94, 16,381.41 and 3,129.75 is: 4,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.94 : 16,381.41 = 3,129.75 : x
  2. Step 2: Convert to fraction form
    10,920.94/16,381.41 = 3,129.75/x
  3. Step 3: Cross multiply
    10,920.94x = 16,381.41 × 3,129.75
  4. Step 4: Simplify right side
    10,920.94x = 51,269,717.95
  5. Step 5: Solve for x
    x = 51,269,717.95/10,920.94
  6. Step 6: Final answer
    x = 4,694.63

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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.