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Finding the Fourth Proportional to 11,299.68, 16,949.68 and 3,508

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Solution

The fourth proportional to 11,299.68, 16,949.68 and 3,508 is: 5,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.68 : 16,949.68 = 3,508 : x
  2. Step 2: Convert to fraction form
    11,299.68/16,949.68 = 3,508/x
  3. Step 3: Cross multiply
    11,299.68x = 16,949.68 × 3,508
  4. Step 4: Simplify right side
    11,299.68x = 59,459,477.44
  5. Step 5: Solve for x
    x = 59,459,477.44/11,299.68
  6. Step 6: Final answer
    x = 5,262.05

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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.