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Finding the Fourth Proportional to 11,429.85, 17,147.22 and 4,859.13

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Solution

The fourth proportional to 11,429.85, 17,147.22 and 4,859.13 is: 7,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.85 : 17,147.22 = 4,859.13 : x
  2. Step 2: Convert to fraction form
    11,429.85/17,147.22 = 4,859.13/x
  3. Step 3: Cross multiply
    11,429.85x = 17,147.22 × 4,859.13
  4. Step 4: Simplify right side
    11,429.85x = 83,320,571.12
  5. Step 5: Solve for x
    x = 83,320,571.12/11,429.85
  6. Step 6: Final answer
    x = 7,289.73

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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.