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Finding the Fourth Proportional to 8,099.68, 11,174.56 and 4,741.92

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Solution

The fourth proportional to 8,099.68, 11,174.56 and 4,741.92 is: 6,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.68 : 11,174.56 = 4,741.92 : x
  2. Step 2: Convert to fraction form
    8,099.68/11,174.56 = 4,741.92/x
  3. Step 3: Cross multiply
    8,099.68x = 11,174.56 × 4,741.92
  4. Step 4: Simplify right side
    8,099.68x = 52,988,869.56
  5. Step 5: Solve for x
    x = 52,988,869.56/8,099.68
  6. Step 6: Final answer
    x = 6,542.09

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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.