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Finding the Fourth Proportional to 11,410.10, 17,114.57 and 4,014.62

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Solution

The fourth proportional to 11,410.10, 17,114.57 and 4,014.62 is: 6,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.10 : 17,114.57 = 4,014.62 : x
  2. Step 2: Convert to fraction form
    11,410.10/17,114.57 = 4,014.62/x
  3. Step 3: Cross multiply
    11,410.10x = 17,114.57 × 4,014.62
  4. Step 4: Simplify right side
    11,410.10x = 68,708,491.18
  5. Step 5: Solve for x
    x = 68,708,491.18/11,410.10
  6. Step 6: Final answer
    x = 6,021.73

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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.