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Finding the Fourth Proportional to 8,147.39, 12,226.91 and 3,470.67

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Solution

The fourth proportional to 8,147.39, 12,226.91 and 3,470.67 is: 5,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.39 : 12,226.91 = 3,470.67 : x
  2. Step 2: Convert to fraction form
    8,147.39/12,226.91 = 3,470.67/x
  3. Step 3: Cross multiply
    8,147.39x = 12,226.91 × 3,470.67
  4. Step 4: Simplify right side
    8,147.39x = 42,435,552.38
  5. Step 5: Solve for x
    x = 42,435,552.38/8,147.39
  6. Step 6: Final answer
    x = 5,208.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.