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Finding the Fourth Proportional to 8,090.74, 11,162.82 and 4,905.28

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Solution

The fourth proportional to 8,090.74, 11,162.82 and 4,905.28 is: 6,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.74 : 11,162.82 = 4,905.28 : x
  2. Step 2: Convert to fraction form
    8,090.74/11,162.82 = 4,905.28/x
  3. Step 3: Cross multiply
    8,090.74x = 11,162.82 × 4,905.28
  4. Step 4: Simplify right side
    8,090.74x = 54,756,757.69
  5. Step 5: Solve for x
    x = 54,756,757.69/8,090.74
  6. Step 6: Final answer
    x = 6,767.83

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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.