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Finding the Fourth Proportional to 11,657.25, 17,486.01 and 2,892.24

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Solution

The fourth proportional to 11,657.25, 17,486.01 and 2,892.24 is: 4,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.25 : 17,486.01 = 2,892.24 : x
  2. Step 2: Convert to fraction form
    11,657.25/17,486.01 = 2,892.24/x
  3. Step 3: Cross multiply
    11,657.25x = 17,486.01 × 2,892.24
  4. Step 4: Simplify right side
    11,657.25x = 50,573,737.56
  5. Step 5: Solve for x
    x = 50,573,737.56/11,657.25
  6. Step 6: Final answer
    x = 4,338.39

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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.