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Finding the Fourth Proportional to 11,441.64, 17,162.40 and 7,517.64

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Solution

The fourth proportional to 11,441.64, 17,162.40 and 7,517.64 is: 11,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.64 : 17,162.40 = 7,517.64 : x
  2. Step 2: Convert to fraction form
    11,441.64/17,162.40 = 7,517.64/x
  3. Step 3: Cross multiply
    11,441.64x = 17,162.40 × 7,517.64
  4. Step 4: Simplify right side
    11,441.64x = 129,020,744.74
  5. Step 5: Solve for x
    x = 129,020,744.74/11,441.64
  6. Step 6: Final answer
    x = 11,276.42

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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.