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Finding the Fourth Proportional to 8,146.78, 12,223.58 and 3,467.78

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Solution

The fourth proportional to 8,146.78, 12,223.58 and 3,467.78 is: 5,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.78 : 12,223.58 = 3,467.78 : x
  2. Step 2: Convert to fraction form
    8,146.78/12,223.58 = 3,467.78/x
  3. Step 3: Cross multiply
    8,146.78x = 12,223.58 × 3,467.78
  4. Step 4: Simplify right side
    8,146.78x = 42,388,653.63
  5. Step 5: Solve for x
    x = 42,388,653.63/8,146.78
  6. Step 6: Final answer
    x = 5,203.12

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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.