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Finding the Fourth Proportional to 10,863.78, 16,285.27 and 3,464.16

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Solution

The fourth proportional to 10,863.78, 16,285.27 and 3,464.16 is: 5,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.78 : 16,285.27 = 3,464.16 : x
  2. Step 2: Convert to fraction form
    10,863.78/16,285.27 = 3,464.16/x
  3. Step 3: Cross multiply
    10,863.78x = 16,285.27 × 3,464.16
  4. Step 4: Simplify right side
    10,863.78x = 56,414,780.92
  5. Step 5: Solve for x
    x = 56,414,780.92/10,863.78
  6. Step 6: Final answer
    x = 5,192.92

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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.