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Finding the Fourth Proportional to 10,540.22, 14,532.09 and 8,644.82

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Solution

The fourth proportional to 10,540.22, 14,532.09 and 8,644.82 is: 11,918.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.22 : 14,532.09 = 8,644.82 : x
  2. Step 2: Convert to fraction form
    10,540.22/14,532.09 = 8,644.82/x
  3. Step 3: Cross multiply
    10,540.22x = 14,532.09 × 8,644.82
  4. Step 4: Simplify right side
    10,540.22x = 125,627,302.27
  5. Step 5: Solve for x
    x = 125,627,302.27/10,540.22
  6. Step 6: Final answer
    x = 11,918.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.