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Finding the Fourth Proportional to 6,681.90, 10,022.52 and 2,299.44

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Solution

The fourth proportional to 6,681.90, 10,022.52 and 2,299.44 is: 3,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.90 : 10,022.52 = 2,299.44 : x
  2. Step 2: Convert to fraction form
    6,681.90/10,022.52 = 2,299.44/x
  3. Step 3: Cross multiply
    6,681.90x = 10,022.52 × 2,299.44
  4. Step 4: Simplify right side
    6,681.90x = 23,046,183.39
  5. Step 5: Solve for x
    x = 23,046,183.39/6,681.90
  6. Step 6: Final answer
    x = 3,449.05

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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.