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Finding the Fourth Proportional to 8,116.94, 12,182.31 and 3,190.02

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Solution

The fourth proportional to 8,116.94, 12,182.31 and 3,190.02 is: 4,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.94 : 12,182.31 = 3,190.02 : x
  2. Step 2: Convert to fraction form
    8,116.94/12,182.31 = 3,190.02/x
  3. Step 3: Cross multiply
    8,116.94x = 12,182.31 × 3,190.02
  4. Step 4: Simplify right side
    8,116.94x = 38,861,812.55
  5. Step 5: Solve for x
    x = 38,861,812.55/8,116.94
  6. Step 6: Final answer
    x = 4,787.74

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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.