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Finding the Fourth Proportional to 11,410.68, 17,116.13 and 4,015.20

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Solution

The fourth proportional to 11,410.68, 17,116.13 and 4,015.20 is: 6,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.68 : 17,116.13 = 4,015.20 : x
  2. Step 2: Convert to fraction form
    11,410.68/17,116.13 = 4,015.20/x
  3. Step 3: Cross multiply
    11,410.68x = 17,116.13 × 4,015.20
  4. Step 4: Simplify right side
    11,410.68x = 68,724,685.18
  5. Step 5: Solve for x
    x = 68,724,685.18/11,410.68
  6. Step 6: Final answer
    x = 6,022.84

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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.