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Finding the Fourth Proportional to 8,148.84, 12,221.17 and 3,466.43

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Solution

The fourth proportional to 8,148.84, 12,221.17 and 3,466.43 is: 5,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.84 : 12,221.17 = 3,466.43 : x
  2. Step 2: Convert to fraction form
    8,148.84/12,221.17 = 3,466.43/x
  3. Step 3: Cross multiply
    8,148.84x = 12,221.17 × 3,466.43
  4. Step 4: Simplify right side
    8,148.84x = 42,363,830.32
  5. Step 5: Solve for x
    x = 42,363,830.32/8,148.84
  6. Step 6: Final answer
    x = 5,198.76

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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.