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Finding the Fourth Proportional to 8,111.64, 12,168.69 and 3,431.65

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Solution

The fourth proportional to 8,111.64, 12,168.69 and 3,431.65 is: 5,148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.64 : 12,168.69 = 3,431.65 : x
  2. Step 2: Convert to fraction form
    8,111.64/12,168.69 = 3,431.65/x
  3. Step 3: Cross multiply
    8,111.64x = 12,168.69 × 3,431.65
  4. Step 4: Simplify right side
    8,111.64x = 41,758,685.04
  5. Step 5: Solve for x
    x = 41,758,685.04/8,111.64
  6. Step 6: Final answer
    x = 5,148.00

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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.