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Finding the Fourth Proportional to 8,253.78, 12,382.49 and 4,096.05

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Solution

The fourth proportional to 8,253.78, 12,382.49 and 4,096.05 is: 6,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.78 : 12,382.49 = 4,096.05 : x
  2. Step 2: Convert to fraction form
    8,253.78/12,382.49 = 4,096.05/x
  3. Step 3: Cross multiply
    8,253.78x = 12,382.49 × 4,096.05
  4. Step 4: Simplify right side
    8,253.78x = 50,719,298.16
  5. Step 5: Solve for x
    x = 50,719,298.16/8,253.78
  6. Step 6: Final answer
    x = 6,144.98

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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.