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Finding the Fourth Proportional to 8,034.48, 12,029.97 and 5,684.82

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Solution

The fourth proportional to 8,034.48, 12,029.97 and 5,684.82 is: 8,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.48 : 12,029.97 = 5,684.82 : x
  2. Step 2: Convert to fraction form
    8,034.48/12,029.97 = 5,684.82/x
  3. Step 3: Cross multiply
    8,034.48x = 12,029.97 × 5,684.82
  4. Step 4: Simplify right side
    8,034.48x = 68,388,214.06
  5. Step 5: Solve for x
    x = 68,388,214.06/8,034.48
  6. Step 6: Final answer
    x = 8,511.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.