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Finding the Fourth Proportional to 8,177.85, 12,269.84 and 3,250.94

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Solution

The fourth proportional to 8,177.85, 12,269.84 and 3,250.94 is: 4,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.85 : 12,269.84 = 3,250.94 : x
  2. Step 2: Convert to fraction form
    8,177.85/12,269.84 = 3,250.94/x
  3. Step 3: Cross multiply
    8,177.85x = 12,269.84 × 3,250.94
  4. Step 4: Simplify right side
    8,177.85x = 39,888,436.05
  5. Step 5: Solve for x
    x = 39,888,436.05/8,177.85
  6. Step 6: Final answer
    x = 4,877.62

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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.