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Finding the Fourth Proportional to 8,112.44, 12,168.66 and 3,184.40

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Solution

The fourth proportional to 8,112.44, 12,168.66 and 3,184.40 is: 4,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.44 : 12,168.66 = 3,184.40 : x
  2. Step 2: Convert to fraction form
    8,112.44/12,168.66 = 3,184.40/x
  3. Step 3: Cross multiply
    8,112.44x = 12,168.66 × 3,184.40
  4. Step 4: Simplify right side
    8,112.44x = 38,749,880.90
  5. Step 5: Solve for x
    x = 38,749,880.90/8,112.44
  6. Step 6: Final answer
    x = 4,776.60

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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.