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Finding the Fourth Proportional to 8,226.23, 11,352.15 and 4,449.38

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Solution

The fourth proportional to 8,226.23, 11,352.15 and 4,449.38 is: 6,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.23 : 11,352.15 = 4,449.38 : x
  2. Step 2: Convert to fraction form
    8,226.23/11,352.15 = 4,449.38/x
  3. Step 3: Cross multiply
    8,226.23x = 11,352.15 × 4,449.38
  4. Step 4: Simplify right side
    8,226.23x = 50,509,972.41
  5. Step 5: Solve for x
    x = 50,509,972.41/8,226.23
  6. Step 6: Final answer
    x = 6,140.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.