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Finding the Fourth Proportional to 8,164.21, 12,246.45 and 4,276.21

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Solution

The fourth proportional to 8,164.21, 12,246.45 and 4,276.21 is: 6,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.21 : 12,246.45 = 4,276.21 : x
  2. Step 2: Convert to fraction form
    8,164.21/12,246.45 = 4,276.21/x
  3. Step 3: Cross multiply
    8,164.21x = 12,246.45 × 4,276.21
  4. Step 4: Simplify right side
    8,164.21x = 52,368,391.95
  5. Step 5: Solve for x
    x = 52,368,391.95/8,164.21
  6. Step 6: Final answer
    x = 6,414.39

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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.