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Finding the Fourth Proportional to 8,431.91, 12,647.87 and 2,885.30

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Solution

The fourth proportional to 8,431.91, 12,647.87 and 2,885.30 is: 4,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.91 : 12,647.87 = 2,885.30 : x
  2. Step 2: Convert to fraction form
    8,431.91/12,647.87 = 2,885.30/x
  3. Step 3: Cross multiply
    8,431.91x = 12,647.87 × 2,885.30
  4. Step 4: Simplify right side
    8,431.91x = 36,492,884.88
  5. Step 5: Solve for x
    x = 36,492,884.88/8,431.91
  6. Step 6: Final answer
    x = 4,327.95

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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.