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Finding the Fourth Proportional to 11,006, 16,511.12 and 3,610.96

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Solution

The fourth proportional to 11,006, 16,511.12 and 3,610.96 is: 5,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006 : 16,511.12 = 3,610.96 : x
  2. Step 2: Convert to fraction form
    11,006/16,511.12 = 3,610.96/x
  3. Step 3: Cross multiply
    11,006x = 16,511.12 × 3,610.96
  4. Step 4: Simplify right side
    11,006x = 59,620,993.88
  5. Step 5: Solve for x
    x = 59,620,993.88/11,006
  6. Step 6: Final answer
    x = 5,417.14

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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.