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Finding the Fourth Proportional to 11,474.87, 17,214.73 and 3,689.15

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Solution

The fourth proportional to 11,474.87, 17,214.73 and 3,689.15 is: 5,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.87 : 17,214.73 = 3,689.15 : x
  2. Step 2: Convert to fraction form
    11,474.87/17,214.73 = 3,689.15/x
  3. Step 3: Cross multiply
    11,474.87x = 17,214.73 × 3,689.15
  4. Step 4: Simplify right side
    11,474.87x = 63,507,625.88
  5. Step 5: Solve for x
    x = 63,507,625.88/11,474.87
  6. Step 6: Final answer
    x = 5,534.50

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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.