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Finding the Fourth Proportional to 10,810, 16,205.72 and 3,789.04

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Solution

The fourth proportional to 10,810, 16,205.72 and 3,789.04 is: 5,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810 : 16,205.72 = 3,789.04 : x
  2. Step 2: Convert to fraction form
    10,810/16,205.72 = 3,789.04/x
  3. Step 3: Cross multiply
    10,810x = 16,205.72 × 3,789.04
  4. Step 4: Simplify right side
    10,810x = 61,404,121.31
  5. Step 5: Solve for x
    x = 61,404,121.31/10,810
  6. Step 6: Final answer
    x = 5,680.31

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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.