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Finding the Fourth Proportional to 11,742.80, 17,614.24 and 3,951.60

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Solution

The fourth proportional to 11,742.80, 17,614.24 and 3,951.60 is: 5,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.80 : 17,614.24 = 3,951.60 : x
  2. Step 2: Convert to fraction form
    11,742.80/17,614.24 = 3,951.60/x
  3. Step 3: Cross multiply
    11,742.80x = 17,614.24 × 3,951.60
  4. Step 4: Simplify right side
    11,742.80x = 69,604,430.78
  5. Step 5: Solve for x
    x = 69,604,430.78/11,742.80
  6. Step 6: Final answer
    x = 5,927.41

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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.