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Finding the Fourth Proportional to 8,099.92, 11,180.69 and 4,743.81

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Solution

The fourth proportional to 8,099.92, 11,180.69 and 4,743.81 is: 6,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.92 : 11,180.69 = 4,743.81 : x
  2. Step 2: Convert to fraction form
    8,099.92/11,180.69 = 4,743.81/x
  3. Step 3: Cross multiply
    8,099.92x = 11,180.69 × 4,743.81
  4. Step 4: Simplify right side
    8,099.92x = 53,039,069.03
  5. Step 5: Solve for x
    x = 53,039,069.03/8,099.92
  6. Step 6: Final answer
    x = 6,548.10

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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.