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Finding the Fourth Proportional to 11,763.44, 16,229.40 and 7,224.56

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Solution

The fourth proportional to 11,763.44, 16,229.40 and 7,224.56 is: 9,967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.44 : 16,229.40 = 7,224.56 : x
  2. Step 2: Convert to fraction form
    11,763.44/16,229.40 = 7,224.56/x
  3. Step 3: Cross multiply
    11,763.44x = 16,229.40 × 7,224.56
  4. Step 4: Simplify right side
    11,763.44x = 117,250,274.06
  5. Step 5: Solve for x
    x = 117,250,274.06/11,763.44
  6. Step 6: Final answer
    x = 9,967.35

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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.