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Finding the Fourth Proportional to 10,246.25, 15,369.90 and 3,226.43

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Solution

The fourth proportional to 10,246.25, 15,369.90 and 3,226.43 is: 4,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.25 : 15,369.90 = 3,226.43 : x
  2. Step 2: Convert to fraction form
    10,246.25/15,369.90 = 3,226.43/x
  3. Step 3: Cross multiply
    10,246.25x = 15,369.90 × 3,226.43
  4. Step 4: Simplify right side
    10,246.25x = 49,589,950.93
  5. Step 5: Solve for x
    x = 49,589,950.93/10,246.25
  6. Step 6: Final answer
    x = 4,839.82

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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.