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Finding the Fourth Proportional to 8,123.79, 12,185.76 and 3,443.21

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Solution

The fourth proportional to 8,123.79, 12,185.76 and 3,443.21 is: 5,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.79 : 12,185.76 = 3,443.21 : x
  2. Step 2: Convert to fraction form
    8,123.79/12,185.76 = 3,443.21/x
  3. Step 3: Cross multiply
    8,123.79x = 12,185.76 × 3,443.21
  4. Step 4: Simplify right side
    8,123.79x = 41,958,069.76
  5. Step 5: Solve for x
    x = 41,958,069.76/8,123.79
  6. Step 6: Final answer
    x = 5,164.84

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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.