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Finding the Fourth Proportional to 11,677.40, 17,513.40 and 3,884.12

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Solution

The fourth proportional to 11,677.40, 17,513.40 and 3,884.12 is: 5,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.40 : 17,513.40 = 3,884.12 : x
  2. Step 2: Convert to fraction form
    11,677.40/17,513.40 = 3,884.12/x
  3. Step 3: Cross multiply
    11,677.40x = 17,513.40 × 3,884.12
  4. Step 4: Simplify right side
    11,677.40x = 68,024,147.21
  5. Step 5: Solve for x
    x = 68,024,147.21/11,677.40
  6. Step 6: Final answer
    x = 5,825.28

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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.