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Finding the Fourth Proportional to 10,920.30, 16,380.45 and 3,022.80

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Solution

The fourth proportional to 10,920.30, 16,380.45 and 3,022.80 is: 4,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.30 : 16,380.45 = 3,022.80 : x
  2. Step 2: Convert to fraction form
    10,920.30/16,380.45 = 3,022.80/x
  3. Step 3: Cross multiply
    10,920.30x = 16,380.45 × 3,022.80
  4. Step 4: Simplify right side
    10,920.30x = 49,514,824.26
  5. Step 5: Solve for x
    x = 49,514,824.26/10,920.30
  6. Step 6: Final answer
    x = 4,534.20

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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.