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Finding the Fourth Proportional to 10,268.68, 14,170.74 and 6,234.12

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Solution

The fourth proportional to 10,268.68, 14,170.74 and 6,234.12 is: 8,603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.68 : 14,170.74 = 6,234.12 : x
  2. Step 2: Convert to fraction form
    10,268.68/14,170.74 = 6,234.12/x
  3. Step 3: Cross multiply
    10,268.68x = 14,170.74 × 6,234.12
  4. Step 4: Simplify right side
    10,268.68x = 88,342,093.65
  5. Step 5: Solve for x
    x = 88,342,093.65/10,268.68
  6. Step 6: Final answer
    x = 8,603.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.