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Finding the Fourth Proportional to 11,493.87, 17,236.31 and 4,472.96

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Solution

The fourth proportional to 11,493.87, 17,236.31 and 4,472.96 is: 6,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.87 : 17,236.31 = 4,472.96 : x
  2. Step 2: Convert to fraction form
    11,493.87/17,236.31 = 4,472.96/x
  3. Step 3: Cross multiply
    11,493.87x = 17,236.31 × 4,472.96
  4. Step 4: Simplify right side
    11,493.87x = 77,097,216.63
  5. Step 5: Solve for x
    x = 77,097,216.63/11,493.87
  6. Step 6: Final answer
    x = 6,707.68

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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.