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Finding the Fourth Proportional to 6,807.94, 10,206.33 and 2,422.90

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Solution

The fourth proportional to 6,807.94, 10,206.33 and 2,422.90 is: 3,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.94 : 10,206.33 = 2,422.90 : x
  2. Step 2: Convert to fraction form
    6,807.94/10,206.33 = 2,422.90/x
  3. Step 3: Cross multiply
    6,807.94x = 10,206.33 × 2,422.90
  4. Step 4: Simplify right side
    6,807.94x = 24,728,916.96
  5. Step 5: Solve for x
    x = 24,728,916.96/6,807.94
  6. Step 6: Final answer
    x = 3,632.36

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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.