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Finding the Fourth Proportional to 11,489.69, 17,232.49 and 3,056.24

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Solution

The fourth proportional to 11,489.69, 17,232.49 and 3,056.24 is: 4,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.69 : 17,232.49 = 3,056.24 : x
  2. Step 2: Convert to fraction form
    11,489.69/17,232.49 = 3,056.24/x
  3. Step 3: Cross multiply
    11,489.69x = 17,232.49 × 3,056.24
  4. Step 4: Simplify right side
    11,489.69x = 52,666,682.22
  5. Step 5: Solve for x
    x = 52,666,682.22/11,489.69
  6. Step 6: Final answer
    x = 4,583.82

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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.