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Finding the Fourth Proportional to 11,077.44, 15,286.24 and 6,606.24

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Solution

The fourth proportional to 11,077.44, 15,286.24 and 6,606.24 is: 9,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.44 : 15,286.24 = 6,606.24 : x
  2. Step 2: Convert to fraction form
    11,077.44/15,286.24 = 6,606.24/x
  3. Step 3: Cross multiply
    11,077.44x = 15,286.24 × 6,606.24
  4. Step 4: Simplify right side
    11,077.44x = 100,984,570.14
  5. Step 5: Solve for x
    x = 100,984,570.14/11,077.44
  6. Step 6: Final answer
    x = 9,116.24

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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.