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Finding the Fourth Proportional to 11,898.10, 17,847.06 and 3,578.08

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Solution

The fourth proportional to 11,898.10, 17,847.06 and 3,578.08 is: 5,367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.10 : 17,847.06 = 3,578.08 : x
  2. Step 2: Convert to fraction form
    11,898.10/17,847.06 = 3,578.08/x
  3. Step 3: Cross multiply
    11,898.10x = 17,847.06 × 3,578.08
  4. Step 4: Simplify right side
    11,898.10x = 63,858,208.44
  5. Step 5: Solve for x
    x = 63,858,208.44/11,898.10
  6. Step 6: Final answer
    x = 5,367.09

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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.