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Finding the Fourth Proportional to 6,825.71, 10,232.08 and 2,668.39

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Solution

The fourth proportional to 6,825.71, 10,232.08 and 2,668.39 is: 4,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.71 : 10,232.08 = 2,668.39 : x
  2. Step 2: Convert to fraction form
    6,825.71/10,232.08 = 2,668.39/x
  3. Step 3: Cross multiply
    6,825.71x = 10,232.08 × 2,668.39
  4. Step 4: Simplify right side
    6,825.71x = 27,303,179.95
  5. Step 5: Solve for x
    x = 27,303,179.95/6,825.71
  6. Step 6: Final answer
    x = 4,000.05

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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.