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Finding the Fourth Proportional to 11,847.14, 17,764.17 and 4,825.36

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Solution

The fourth proportional to 11,847.14, 17,764.17 and 4,825.36 is: 7,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.14 : 17,764.17 = 4,825.36 : x
  2. Step 2: Convert to fraction form
    11,847.14/17,764.17 = 4,825.36/x
  3. Step 3: Cross multiply
    11,847.14x = 17,764.17 × 4,825.36
  4. Step 4: Simplify right side
    11,847.14x = 85,718,515.35
  5. Step 5: Solve for x
    x = 85,718,515.35/11,847.14
  6. Step 6: Final answer
    x = 7,235.38

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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.