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Finding the Fourth Proportional to 11,327.58, 16,993.08 and 3,537

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Solution

The fourth proportional to 11,327.58, 16,993.08 and 3,537 is: 5,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327.58 : 16,993.08 = 3,537 : x
  2. Step 2: Convert to fraction form
    11,327.58/16,993.08 = 3,537/x
  3. Step 3: Cross multiply
    11,327.58x = 16,993.08 × 3,537
  4. Step 4: Simplify right side
    11,327.58x = 60,104,523.96
  5. Step 5: Solve for x
    x = 60,104,523.96/11,327.58
  6. Step 6: Final answer
    x = 5,306.03

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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.