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Finding the Fourth Proportional to 11,754.78, 17,622.28 and 5,511.50

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Solution

The fourth proportional to 11,754.78, 17,622.28 and 5,511.50 is: 8,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.78 : 17,622.28 = 5,511.50 : x
  2. Step 2: Convert to fraction form
    11,754.78/17,622.28 = 5,511.50/x
  3. Step 3: Cross multiply
    11,754.78x = 17,622.28 × 5,511.50
  4. Step 4: Simplify right side
    11,754.78x = 97,125,196.22
  5. Step 5: Solve for x
    x = 97,125,196.22/11,754.78
  6. Step 6: Final answer
    x = 8,262.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.