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Finding the Fourth Proportional to 8,447.09, 12,672.83 and 3,182.15

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Solution

The fourth proportional to 8,447.09, 12,672.83 and 3,182.15 is: 4,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.09 : 12,672.83 = 3,182.15 : x
  2. Step 2: Convert to fraction form
    8,447.09/12,672.83 = 3,182.15/x
  3. Step 3: Cross multiply
    8,447.09x = 12,672.83 × 3,182.15
  4. Step 4: Simplify right side
    8,447.09x = 40,326,885.62
  5. Step 5: Solve for x
    x = 40,326,885.62/8,447.09
  6. Step 6: Final answer
    x = 4,774.06

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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.