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Finding the Fourth Proportional to 11,240.16, 15,512.41 and 6,205.47

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Solution

The fourth proportional to 11,240.16, 15,512.41 and 6,205.47 is: 8,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,240.16 : 15,512.41 = 6,205.47 : x
  2. Step 2: Convert to fraction form
    11,240.16/15,512.41 = 6,205.47/x
  3. Step 3: Cross multiply
    11,240.16x = 15,512.41 × 6,205.47
  4. Step 4: Simplify right side
    11,240.16x = 96,261,794.88
  5. Step 5: Solve for x
    x = 96,261,794.88/11,240.16
  6. Step 6: Final answer
    x = 8,564.09

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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.