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Finding the Fourth Proportional to 11,224.36, 15,489.68 and 6,511.44

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Solution

The fourth proportional to 11,224.36, 15,489.68 and 6,511.44 is: 8,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.36 : 15,489.68 = 6,511.44 : x
  2. Step 2: Convert to fraction form
    11,224.36/15,489.68 = 6,511.44/x
  3. Step 3: Cross multiply
    11,224.36x = 15,489.68 × 6,511.44
  4. Step 4: Simplify right side
    11,224.36x = 100,860,121.94
  5. Step 5: Solve for x
    x = 100,860,121.94/11,224.36
  6. Step 6: Final answer
    x = 8,985.82

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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.