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Finding the Fourth Proportional to 11,729.67, 17,595.65 and 3,409.75

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Solution

The fourth proportional to 11,729.67, 17,595.65 and 3,409.75 is: 5,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.67 : 17,595.65 = 3,409.75 : x
  2. Step 2: Convert to fraction form
    11,729.67/17,595.65 = 3,409.75/x
  3. Step 3: Cross multiply
    11,729.67x = 17,595.65 × 3,409.75
  4. Step 4: Simplify right side
    11,729.67x = 59,996,767.59
  5. Step 5: Solve for x
    x = 59,996,767.59/11,729.67
  6. Step 6: Final answer
    x = 5,114.96

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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.