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Finding the Fourth Proportional to 8,116.56, 12,165.62 and 3,433.65

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Solution

The fourth proportional to 8,116.56, 12,165.62 and 3,433.65 is: 5,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.56 : 12,165.62 = 3,433.65 : x
  2. Step 2: Convert to fraction form
    8,116.56/12,165.62 = 3,433.65/x
  3. Step 3: Cross multiply
    8,116.56x = 12,165.62 × 3,433.65
  4. Step 4: Simplify right side
    8,116.56x = 41,772,481.11
  5. Step 5: Solve for x
    x = 41,772,481.11/8,116.56
  6. Step 6: Final answer
    x = 5,146.57

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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.