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Finding the Fourth Proportional to 8,119.56, 12,178.02 and 3,185.64

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Solution

The fourth proportional to 8,119.56, 12,178.02 and 3,185.64 is: 4,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.56 : 12,178.02 = 3,185.64 : x
  2. Step 2: Convert to fraction form
    8,119.56/12,178.02 = 3,185.64/x
  3. Step 3: Cross multiply
    8,119.56x = 12,178.02 × 3,185.64
  4. Step 4: Simplify right side
    8,119.56x = 38,794,787.63
  5. Step 5: Solve for x
    x = 38,794,787.63/8,119.56
  6. Step 6: Final answer
    x = 4,777.94

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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.