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Finding the Fourth Proportional to 11,165.01, 16,735.81 and 3,766.92

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Solution

The fourth proportional to 11,165.01, 16,735.81 and 3,766.92 is: 5,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.01 : 16,735.81 = 3,766.92 : x
  2. Step 2: Convert to fraction form
    11,165.01/16,735.81 = 3,766.92/x
  3. Step 3: Cross multiply
    11,165.01x = 16,735.81 × 3,766.92
  4. Step 4: Simplify right side
    11,165.01x = 63,042,457.41
  5. Step 5: Solve for x
    x = 63,042,457.41/11,165.01
  6. Step 6: Final answer
    x = 5,646.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.