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Finding the Fourth Proportional to 8,461.89, 12,674.35 and 3,516.54

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Solution

The fourth proportional to 8,461.89, 12,674.35 and 3,516.54 is: 5,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.89 : 12,674.35 = 3,516.54 : x
  2. Step 2: Convert to fraction form
    8,461.89/12,674.35 = 3,516.54/x
  3. Step 3: Cross multiply
    8,461.89x = 12,674.35 × 3,516.54
  4. Step 4: Simplify right side
    8,461.89x = 44,569,815.62
  5. Step 5: Solve for x
    x = 44,569,815.62/8,461.89
  6. Step 6: Final answer
    x = 5,267.12

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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.