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Finding the Fourth Proportional to 11,509.27, 17,263.09 and 6,563.41

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Solution

The fourth proportional to 11,509.27, 17,263.09 and 6,563.41 is: 9,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.27 : 17,263.09 = 6,563.41 : x
  2. Step 2: Convert to fraction form
    11,509.27/17,263.09 = 6,563.41/x
  3. Step 3: Cross multiply
    11,509.27x = 17,263.09 × 6,563.41
  4. Step 4: Simplify right side
    11,509.27x = 113,304,737.54
  5. Step 5: Solve for x
    x = 113,304,737.54/11,509.27
  6. Step 6: Final answer
    x = 9,844.65

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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.