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Finding the Fourth Proportional to 8,254.26, 12,382.78 and 4,094.42

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Solution

The fourth proportional to 8,254.26, 12,382.78 and 4,094.42 is: 6,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.26 : 12,382.78 = 4,094.42 : x
  2. Step 2: Convert to fraction form
    8,254.26/12,382.78 = 4,094.42/x
  3. Step 3: Cross multiply
    8,254.26x = 12,382.78 × 4,094.42
  4. Step 4: Simplify right side
    8,254.26x = 50,700,302.09
  5. Step 5: Solve for x
    x = 50,700,302.09/8,254.26
  6. Step 6: Final answer
    x = 6,142.32

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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.