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Finding the Fourth Proportional to 10,935.78, 16,403.92 and 3,916.27

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Solution

The fourth proportional to 10,935.78, 16,403.92 and 3,916.27 is: 5,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.78 : 16,403.92 = 3,916.27 : x
  2. Step 2: Convert to fraction form
    10,935.78/16,403.92 = 3,916.27/x
  3. Step 3: Cross multiply
    10,935.78x = 16,403.92 × 3,916.27
  4. Step 4: Simplify right side
    10,935.78x = 64,242,179.78
  5. Step 5: Solve for x
    x = 64,242,179.78/10,935.78
  6. Step 6: Final answer
    x = 5,874.49

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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.