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Finding the Fourth Proportional to 7,769.46, 11,657.84 and 3,874.17

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Solution

The fourth proportional to 7,769.46, 11,657.84 and 3,874.17 is: 5,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.46 : 11,657.84 = 3,874.17 : x
  2. Step 2: Convert to fraction form
    7,769.46/11,657.84 = 3,874.17/x
  3. Step 3: Cross multiply
    7,769.46x = 11,657.84 × 3,874.17
  4. Step 4: Simplify right side
    7,769.46x = 45,164,434.62
  5. Step 5: Solve for x
    x = 45,164,434.62/7,769.46
  6. Step 6: Final answer
    x = 5,813.07

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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.