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Finding the Fourth Proportional to 6,833.76, 10,183.49 and 6,610.80

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Solution

The fourth proportional to 6,833.76, 10,183.49 and 6,610.80 is: 9,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.76 : 10,183.49 = 6,610.80 : x
  2. Step 2: Convert to fraction form
    6,833.76/10,183.49 = 6,610.80/x
  3. Step 3: Cross multiply
    6,833.76x = 10,183.49 × 6,610.80
  4. Step 4: Simplify right side
    6,833.76x = 67,321,015.69
  5. Step 5: Solve for x
    x = 67,321,015.69/6,833.76
  6. Step 6: Final answer
    x = 9,851.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.