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Finding the Fourth Proportional to 10,920.64, 16,380.96 and 3,129.48

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Solution

The fourth proportional to 10,920.64, 16,380.96 and 3,129.48 is: 4,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.64 : 16,380.96 = 3,129.48 : x
  2. Step 2: Convert to fraction form
    10,920.64/16,380.96 = 3,129.48/x
  3. Step 3: Cross multiply
    10,920.64x = 16,380.96 × 3,129.48
  4. Step 4: Simplify right side
    10,920.64x = 51,263,886.70
  5. Step 5: Solve for x
    x = 51,263,886.70/10,920.64
  6. Step 6: Final answer
    x = 4,694.22

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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.