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Finding the Fourth Proportional to 11,440.44, 17,138.88 and 6,513.48

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Solution

The fourth proportional to 11,440.44, 17,138.88 and 6,513.48 is: 9,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.44 : 17,138.88 = 6,513.48 : x
  2. Step 2: Convert to fraction form
    11,440.44/17,138.88 = 6,513.48/x
  3. Step 3: Cross multiply
    11,440.44x = 17,138.88 × 6,513.48
  4. Step 4: Simplify right side
    11,440.44x = 111,633,752.10
  5. Step 5: Solve for x
    x = 111,633,752.10/11,440.44
  6. Step 6: Final answer
    x = 9,757.82

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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.