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Finding the Fourth Proportional to 8,042.82, 12,065.94 and 2,496.03

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Solution

The fourth proportional to 8,042.82, 12,065.94 and 2,496.03 is: 3,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.82 : 12,065.94 = 2,496.03 : x
  2. Step 2: Convert to fraction form
    8,042.82/12,065.94 = 2,496.03/x
  3. Step 3: Cross multiply
    8,042.82x = 12,065.94 × 2,496.03
  4. Step 4: Simplify right side
    8,042.82x = 30,116,948.22
  5. Step 5: Solve for x
    x = 30,116,948.22/8,042.82
  6. Step 6: Final answer
    x = 3,744.58

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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.