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Finding the Fourth Proportional to 8,144.44, 11,237.46 and 4,606.88

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Solution

The fourth proportional to 8,144.44, 11,237.46 and 4,606.88 is: 6,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.44 : 11,237.46 = 4,606.88 : x
  2. Step 2: Convert to fraction form
    8,144.44/11,237.46 = 4,606.88/x
  3. Step 3: Cross multiply
    8,144.44x = 11,237.46 × 4,606.88
  4. Step 4: Simplify right side
    8,144.44x = 51,769,629.72
  5. Step 5: Solve for x
    x = 51,769,629.72/8,144.44
  6. Step 6: Final answer
    x = 6,356.44

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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.