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Finding the Fourth Proportional to 11,180.75, 15,429.44 and 6,212.75

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Solution

The fourth proportional to 11,180.75, 15,429.44 and 6,212.75 is: 8,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.75 : 15,429.44 = 6,212.75 : x
  2. Step 2: Convert to fraction form
    11,180.75/15,429.44 = 6,212.75/x
  3. Step 3: Cross multiply
    11,180.75x = 15,429.44 × 6,212.75
  4. Step 4: Simplify right side
    11,180.75x = 95,859,253.36
  5. Step 5: Solve for x
    x = 95,859,253.36/11,180.75
  6. Step 6: Final answer
    x = 8,573.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.