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Finding the Fourth Proportional to 11,202.59, 16,805.43 and 3,805.06

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Solution

The fourth proportional to 11,202.59, 16,805.43 and 3,805.06 is: 5,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.59 : 16,805.43 = 3,805.06 : x
  2. Step 2: Convert to fraction form
    11,202.59/16,805.43 = 3,805.06/x
  3. Step 3: Cross multiply
    11,202.59x = 16,805.43 × 3,805.06
  4. Step 4: Simplify right side
    11,202.59x = 63,945,669.48
  5. Step 5: Solve for x
    x = 63,945,669.48/11,202.59
  6. Step 6: Final answer
    x = 5,708.11

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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.