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Finding the Fourth Proportional to 11,687.85, 17,534.10 and 4,292.39

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Solution

The fourth proportional to 11,687.85, 17,534.10 and 4,292.39 is: 6,439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.85 : 17,534.10 = 4,292.39 : x
  2. Step 2: Convert to fraction form
    11,687.85/17,534.10 = 4,292.39/x
  3. Step 3: Cross multiply
    11,687.85x = 17,534.10 × 4,292.39
  4. Step 4: Simplify right side
    11,687.85x = 75,263,107.83
  5. Step 5: Solve for x
    x = 75,263,107.83/11,687.85
  6. Step 6: Final answer
    x = 6,439.43

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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.