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Finding the Fourth Proportional to 11,675.70, 17,516.34 and 3,884.58

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Solution

The fourth proportional to 11,675.70, 17,516.34 and 3,884.58 is: 5,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.70 : 17,516.34 = 3,884.58 : x
  2. Step 2: Convert to fraction form
    11,675.70/17,516.34 = 3,884.58/x
  3. Step 3: Cross multiply
    11,675.70x = 17,516.34 × 3,884.58
  4. Step 4: Simplify right side
    11,675.70x = 68,043,624.04
  5. Step 5: Solve for x
    x = 68,043,624.04/11,675.70
  6. Step 6: Final answer
    x = 5,827.80

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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.