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Finding the Fourth Proportional to 8,072.82, 11,134.53 and 6,083.46

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Solution

The fourth proportional to 8,072.82, 11,134.53 and 6,083.46 is: 8,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.82 : 11,134.53 = 6,083.46 : x
  2. Step 2: Convert to fraction form
    8,072.82/11,134.53 = 6,083.46/x
  3. Step 3: Cross multiply
    8,072.82x = 11,134.53 × 6,083.46
  4. Step 4: Simplify right side
    8,072.82x = 67,736,467.87
  5. Step 5: Solve for x
    x = 67,736,467.87/8,072.82
  6. Step 6: Final answer
    x = 8,390.68

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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.