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Finding the Fourth Proportional to 8,367.56, 11,540.52 and 7,112.76

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Solution

The fourth proportional to 8,367.56, 11,540.52 and 7,112.76 is: 9,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.56 : 11,540.52 = 7,112.76 : x
  2. Step 2: Convert to fraction form
    8,367.56/11,540.52 = 7,112.76/x
  3. Step 3: Cross multiply
    8,367.56x = 11,540.52 × 7,112.76
  4. Step 4: Simplify right side
    8,367.56x = 82,084,949.04
  5. Step 5: Solve for x
    x = 82,084,949.04/8,367.56
  6. Step 6: Final answer
    x = 9,809.90

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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.