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Finding the Fourth Proportional to 8,083.96, 11,152.69 and 5,964.59

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Solution

The fourth proportional to 8,083.96, 11,152.69 and 5,964.59 is: 8,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.96 : 11,152.69 = 5,964.59 : x
  2. Step 2: Convert to fraction form
    8,083.96/11,152.69 = 5,964.59/x
  3. Step 3: Cross multiply
    8,083.96x = 11,152.69 × 5,964.59
  4. Step 4: Simplify right side
    8,083.96x = 66,521,236.22
  5. Step 5: Solve for x
    x = 66,521,236.22/8,083.96
  6. Step 6: Final answer
    x = 8,228.80

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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.