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Finding the Fourth Proportional to 8,513.91, 12,770.98 and 3,249.20

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Solution

The fourth proportional to 8,513.91, 12,770.98 and 3,249.20 is: 4,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.91 : 12,770.98 = 3,249.20 : x
  2. Step 2: Convert to fraction form
    8,513.91/12,770.98 = 3,249.20/x
  3. Step 3: Cross multiply
    8,513.91x = 12,770.98 × 3,249.20
  4. Step 4: Simplify right side
    8,513.91x = 41,495,492.02
  5. Step 5: Solve for x
    x = 41,495,492.02/8,513.91
  6. Step 6: Final answer
    x = 4,873.85

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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.