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Finding the Fourth Proportional to 11,505.45, 17,260.20 and 4,114.20

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Solution

The fourth proportional to 11,505.45, 17,260.20 and 4,114.20 is: 6,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.45 : 17,260.20 = 4,114.20 : x
  2. Step 2: Convert to fraction form
    11,505.45/17,260.20 = 4,114.20/x
  3. Step 3: Cross multiply
    11,505.45x = 17,260.20 × 4,114.20
  4. Step 4: Simplify right side
    11,505.45x = 71,011,914.84
  5. Step 5: Solve for x
    x = 71,011,914.84/11,505.45
  6. Step 6: Final answer
    x = 6,172.02

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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.