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Finding the Fourth Proportional to 11,648.76, 17,469.36 and 3,855.75

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Solution

The fourth proportional to 11,648.76, 17,469.36 and 3,855.75 is: 5,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.76 : 17,469.36 = 3,855.75 : x
  2. Step 2: Convert to fraction form
    11,648.76/17,469.36 = 3,855.75/x
  3. Step 3: Cross multiply
    11,648.76x = 17,469.36 × 3,855.75
  4. Step 4: Simplify right side
    11,648.76x = 67,357,484.82
  5. Step 5: Solve for x
    x = 67,357,484.82/11,648.76
  6. Step 6: Final answer
    x = 5,782.37

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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.