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Finding the Fourth Proportional to 11,013.44, 16,512 and 5,166.56

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Solution

The fourth proportional to 11,013.44, 16,512 and 5,166.56 is: 7,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.44 : 16,512 = 5,166.56 : x
  2. Step 2: Convert to fraction form
    11,013.44/16,512 = 5,166.56/x
  3. Step 3: Cross multiply
    11,013.44x = 16,512 × 5,166.56
  4. Step 4: Simplify right side
    11,013.44x = 85,310,238.72
  5. Step 5: Solve for x
    x = 85,310,238.72/11,013.44
  6. Step 6: Final answer
    x = 7,746.01

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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.