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Finding the Fourth Proportional to 11,735.27, 17,605.11 and 4,715.85

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Solution

The fourth proportional to 11,735.27, 17,605.11 and 4,715.85 is: 7,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.27 : 17,605.11 = 4,715.85 : x
  2. Step 2: Convert to fraction form
    11,735.27/17,605.11 = 4,715.85/x
  3. Step 3: Cross multiply
    11,735.27x = 17,605.11 × 4,715.85
  4. Step 4: Simplify right side
    11,735.27x = 83,022,973.26
  5. Step 5: Solve for x
    x = 83,022,973.26/11,735.27
  6. Step 6: Final answer
    x = 7,074.66

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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.