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Finding the Fourth Proportional to 8,148.44, 12,223 and 3,467.81

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Solution

The fourth proportional to 8,148.44, 12,223 and 3,467.81 is: 5,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.44 : 12,223 = 3,467.81 : x
  2. Step 2: Convert to fraction form
    8,148.44/12,223 = 3,467.81/x
  3. Step 3: Cross multiply
    8,148.44x = 12,223 × 3,467.81
  4. Step 4: Simplify right side
    8,148.44x = 42,386,980.52
  5. Step 5: Solve for x
    x = 42,386,980.52/8,148.44
  6. Step 6: Final answer
    x = 5,201.86

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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.