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Finding the Fourth Proportional to 11,847.56, 17,770.26 and 4,055.48

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Solution

The fourth proportional to 11,847.56, 17,770.26 and 4,055.48 is: 6,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.56 : 17,770.26 = 4,055.48 : x
  2. Step 2: Convert to fraction form
    11,847.56/17,770.26 = 4,055.48/x
  3. Step 3: Cross multiply
    11,847.56x = 17,770.26 × 4,055.48
  4. Step 4: Simplify right side
    11,847.56x = 72,066,934.02
  5. Step 5: Solve for x
    x = 72,066,934.02/11,847.56
  6. Step 6: Final answer
    x = 6,082.85

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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.