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Finding the Fourth Proportional to 11,689, 17,533.34 and 4,290.56

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Solution

The fourth proportional to 11,689, 17,533.34 and 4,290.56 is: 6,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689 : 17,533.34 = 4,290.56 : x
  2. Step 2: Convert to fraction form
    11,689/17,533.34 = 4,290.56/x
  3. Step 3: Cross multiply
    11,689x = 17,533.34 × 4,290.56
  4. Step 4: Simplify right side
    11,689x = 75,227,847.27
  5. Step 5: Solve for x
    x = 75,227,847.27/11,689
  6. Step 6: Final answer
    x = 6,435.78

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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.