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Finding the Fourth Proportional to 11,410.95, 17,116.46 and 3,513.42

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Solution

The fourth proportional to 11,410.95, 17,116.46 and 3,513.42 is: 5,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.95 : 17,116.46 = 3,513.42 : x
  2. Step 2: Convert to fraction form
    11,410.95/17,116.46 = 3,513.42/x
  3. Step 3: Cross multiply
    11,410.95x = 17,116.46 × 3,513.42
  4. Step 4: Simplify right side
    11,410.95x = 60,137,321.68
  5. Step 5: Solve for x
    x = 60,137,321.68/11,410.95
  6. Step 6: Final answer
    x = 5,270.14

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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.