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Finding the Fourth Proportional to 8,114.28, 11,191.96 and 7,843.32

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Solution

The fourth proportional to 8,114.28, 11,191.96 and 7,843.32 is: 10,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.28 : 11,191.96 = 7,843.32 : x
  2. Step 2: Convert to fraction form
    8,114.28/11,191.96 = 7,843.32/x
  3. Step 3: Cross multiply
    8,114.28x = 11,191.96 × 7,843.32
  4. Step 4: Simplify right side
    8,114.28x = 87,782,123.71
  5. Step 5: Solve for x
    x = 87,782,123.71/8,114.28
  6. Step 6: Final answer
    x = 10,818.23

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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.