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Finding the Fourth Proportional to 11,846.25, 17,758.44 and 4,445.69

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Solution

The fourth proportional to 11,846.25, 17,758.44 and 4,445.69 is: 6,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.25 : 17,758.44 = 4,445.69 : x
  2. Step 2: Convert to fraction form
    11,846.25/17,758.44 = 4,445.69/x
  3. Step 3: Cross multiply
    11,846.25x = 17,758.44 × 4,445.69
  4. Step 4: Simplify right side
    11,846.25x = 78,948,430.33
  5. Step 5: Solve for x
    x = 78,948,430.33/11,846.25
  6. Step 6: Final answer
    x = 6,664.42

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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.