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Finding the Fourth Proportional to 11,206.53, 16,809.93 and 3,811.14

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Solution

The fourth proportional to 11,206.53, 16,809.93 and 3,811.14 is: 5,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.53 : 16,809.93 = 3,811.14 : x
  2. Step 2: Convert to fraction form
    11,206.53/16,809.93 = 3,811.14/x
  3. Step 3: Cross multiply
    11,206.53x = 16,809.93 × 3,811.14
  4. Step 4: Simplify right side
    11,206.53x = 64,064,996.62
  5. Step 5: Solve for x
    x = 64,064,996.62/11,206.53
  6. Step 6: Final answer
    x = 5,716.76

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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.