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Finding the Fourth Proportional to 8,046.33, 11,099.87 and 5,946.81

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Solution

The fourth proportional to 8,046.33, 11,099.87 and 5,946.81 is: 8,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.33 : 11,099.87 = 5,946.81 : x
  2. Step 2: Convert to fraction form
    8,046.33/11,099.87 = 5,946.81/x
  3. Step 3: Cross multiply
    8,046.33x = 11,099.87 × 5,946.81
  4. Step 4: Simplify right side
    8,046.33x = 66,008,788.18
  5. Step 5: Solve for x
    x = 66,008,788.18/8,046.33
  6. Step 6: Final answer
    x = 8,203.59

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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.