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Finding the Fourth Proportional to 10,957.20, 16,435.80 and 6,801.90

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Solution

The fourth proportional to 10,957.20, 16,435.80 and 6,801.90 is: 10,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.20 : 16,435.80 = 6,801.90 : x
  2. Step 2: Convert to fraction form
    10,957.20/16,435.80 = 6,801.90/x
  3. Step 3: Cross multiply
    10,957.20x = 16,435.80 × 6,801.90
  4. Step 4: Simplify right side
    10,957.20x = 111,794,668.02
  5. Step 5: Solve for x
    x = 111,794,668.02/10,957.20
  6. Step 6: Final answer
    x = 10,202.85

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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.