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Finding the Fourth Proportional to 11,847.19, 17,770.07 and 3,527.23

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Solution

The fourth proportional to 11,847.19, 17,770.07 and 3,527.23 is: 5,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.19 : 17,770.07 = 3,527.23 : x
  2. Step 2: Convert to fraction form
    11,847.19/17,770.07 = 3,527.23/x
  3. Step 3: Cross multiply
    11,847.19x = 17,770.07 × 3,527.23
  4. Step 4: Simplify right side
    11,847.19x = 62,679,106.37
  5. Step 5: Solve for x
    x = 62,679,106.37/11,847.19
  6. Step 6: Final answer
    x = 5,290.63

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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.