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Finding the Fourth Proportional to 11,209.50, 15,469.20 and 6,494.58

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Solution

The fourth proportional to 11,209.50, 15,469.20 and 6,494.58 is: 8,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.50 : 15,469.20 = 6,494.58 : x
  2. Step 2: Convert to fraction form
    11,209.50/15,469.20 = 6,494.58/x
  3. Step 3: Cross multiply
    11,209.50x = 15,469.20 × 6,494.58
  4. Step 4: Simplify right side
    11,209.50x = 100,465,956.94
  5. Step 5: Solve for x
    x = 100,465,956.94/11,209.50
  6. Step 6: Final answer
    x = 8,962.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.