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Finding the Fourth Proportional to 8,500.29, 12,731.94 and 4,108.50

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Solution

The fourth proportional to 8,500.29, 12,731.94 and 4,108.50 is: 6,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.29 : 12,731.94 = 4,108.50 : x
  2. Step 2: Convert to fraction form
    8,500.29/12,731.94 = 4,108.50/x
  3. Step 3: Cross multiply
    8,500.29x = 12,731.94 × 4,108.50
  4. Step 4: Simplify right side
    8,500.29x = 52,309,175.49
  5. Step 5: Solve for x
    x = 52,309,175.49/8,500.29
  6. Step 6: Final answer
    x = 6,153.81

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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.