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Finding the Fourth Proportional to 11,540.58, 17,311.71 and 4,145.10

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Solution

The fourth proportional to 11,540.58, 17,311.71 and 4,145.10 is: 6,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.58 : 17,311.71 = 4,145.10 : x
  2. Step 2: Convert to fraction form
    11,540.58/17,311.71 = 4,145.10/x
  3. Step 3: Cross multiply
    11,540.58x = 17,311.71 × 4,145.10
  4. Step 4: Simplify right side
    11,540.58x = 71,758,769.12
  5. Step 5: Solve for x
    x = 71,758,769.12/11,540.58
  6. Step 6: Final answer
    x = 6,217.95

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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.