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Finding the Fourth Proportional to 8,086.68, 11,158.32 and 5,104.14

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Solution

The fourth proportional to 8,086.68, 11,158.32 and 5,104.14 is: 7,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.68 : 11,158.32 = 5,104.14 : x
  2. Step 2: Convert to fraction form
    8,086.68/11,158.32 = 5,104.14/x
  3. Step 3: Cross multiply
    8,086.68x = 11,158.32 × 5,104.14
  4. Step 4: Simplify right side
    8,086.68x = 56,953,627.44
  5. Step 5: Solve for x
    x = 56,953,627.44/8,086.68
  6. Step 6: Final answer
    x = 7,042.89

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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.