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Finding the Fourth Proportional to 11,167.60, 16,751 and 4,506.96

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Solution

The fourth proportional to 11,167.60, 16,751 and 4,506.96 is: 6,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.60 : 16,751 = 4,506.96 : x
  2. Step 2: Convert to fraction form
    11,167.60/16,751 = 4,506.96/x
  3. Step 3: Cross multiply
    11,167.60x = 16,751 × 4,506.96
  4. Step 4: Simplify right side
    11,167.60x = 75,496,086.96
  5. Step 5: Solve for x
    x = 75,496,086.96/11,167.60
  6. Step 6: Final answer
    x = 6,760.28

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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.