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Finding the Fourth Proportional to 10,920.88, 16,381.49 and 3,129.69

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Solution

The fourth proportional to 10,920.88, 16,381.49 and 3,129.69 is: 4,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.88 : 16,381.49 = 3,129.69 : x
  2. Step 2: Convert to fraction form
    10,920.88/16,381.49 = 3,129.69/x
  3. Step 3: Cross multiply
    10,920.88x = 16,381.49 × 3,129.69
  4. Step 4: Simplify right side
    10,920.88x = 51,268,985.44
  5. Step 5: Solve for x
    x = 51,268,985.44/10,920.88
  6. Step 6: Final answer
    x = 4,694.58

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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.