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Finding the Fourth Proportional to 11,451.98, 17,174.73 and 5,208.50

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Solution

The fourth proportional to 11,451.98, 17,174.73 and 5,208.50 is: 7,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.98 : 17,174.73 = 5,208.50 : x
  2. Step 2: Convert to fraction form
    11,451.98/17,174.73 = 5,208.50/x
  3. Step 3: Cross multiply
    11,451.98x = 17,174.73 × 5,208.50
  4. Step 4: Simplify right side
    11,451.98x = 89,454,581.21
  5. Step 5: Solve for x
    x = 89,454,581.21/11,451.98
  6. Step 6: Final answer
    x = 7,811.28

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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.