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Finding the Fourth Proportional to 11,202.75, 16,807.17 and 3,411.57

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Solution

The fourth proportional to 11,202.75, 16,807.17 and 3,411.57 is: 5,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.75 : 16,807.17 = 3,411.57 : x
  2. Step 2: Convert to fraction form
    11,202.75/16,807.17 = 3,411.57/x
  3. Step 3: Cross multiply
    11,202.75x = 16,807.17 × 3,411.57
  4. Step 4: Simplify right side
    11,202.75x = 57,338,836.96
  5. Step 5: Solve for x
    x = 57,338,836.96/11,202.75
  6. Step 6: Final answer
    x = 5,118.28

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