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Finding the Fourth Proportional to 6,829.30, 10,231.80 and 5,857.30

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Solution

The fourth proportional to 6,829.30, 10,231.80 and 5,857.30 is: 8,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.30 : 10,231.80 = 5,857.30 : x
  2. Step 2: Convert to fraction form
    6,829.30/10,231.80 = 5,857.30/x
  3. Step 3: Cross multiply
    6,829.30x = 10,231.80 × 5,857.30
  4. Step 4: Simplify right side
    6,829.30x = 59,930,722.14
  5. Step 5: Solve for x
    x = 59,930,722.14/6,829.30
  6. Step 6: Final answer
    x = 8,775.53

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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.