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Finding the Fourth Proportional to 8,083.58, 12,125.52 and 2,536.80

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Solution

The fourth proportional to 8,083.58, 12,125.52 and 2,536.80 is: 3,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.58 : 12,125.52 = 2,536.80 : x
  2. Step 2: Convert to fraction form
    8,083.58/12,125.52 = 2,536.80/x
  3. Step 3: Cross multiply
    8,083.58x = 12,125.52 × 2,536.80
  4. Step 4: Simplify right side
    8,083.58x = 30,760,019.14
  5. Step 5: Solve for x
    x = 30,760,019.14/8,083.58
  6. Step 6: Final answer
    x = 3,805.25

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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.