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Finding the Fourth Proportional to 11,735.67, 17,604.65 and 3,415.75

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Solution

The fourth proportional to 11,735.67, 17,604.65 and 3,415.75 is: 5,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.67 : 17,604.65 = 3,415.75 : x
  2. Step 2: Convert to fraction form
    11,735.67/17,604.65 = 3,415.75/x
  3. Step 3: Cross multiply
    11,735.67x = 17,604.65 × 3,415.75
  4. Step 4: Simplify right side
    11,735.67x = 60,133,083.24
  5. Step 5: Solve for x
    x = 60,133,083.24/11,735.67
  6. Step 6: Final answer
    x = 5,123.96

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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.