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Finding the Fourth Proportional to 11,898.37, 17,847.74 and 4,506.31

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Solution

The fourth proportional to 11,898.37, 17,847.74 and 4,506.31 is: 6,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.37 : 17,847.74 = 4,506.31 : x
  2. Step 2: Convert to fraction form
    11,898.37/17,847.74 = 4,506.31/x
  3. Step 3: Cross multiply
    11,898.37x = 17,847.74 × 4,506.31
  4. Step 4: Simplify right side
    11,898.37x = 80,427,449.24
  5. Step 5: Solve for x
    x = 80,427,449.24/11,898.37
  6. Step 6: Final answer
    x = 6,759.54

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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.