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Finding the Fourth Proportional to 8,292.11, 12,428.22 and 3,843.75

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Solution

The fourth proportional to 8,292.11, 12,428.22 and 3,843.75 is: 5,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.11 : 12,428.22 = 3,843.75 : x
  2. Step 2: Convert to fraction form
    8,292.11/12,428.22 = 3,843.75/x
  3. Step 3: Cross multiply
    8,292.11x = 12,428.22 × 3,843.75
  4. Step 4: Simplify right side
    8,292.11x = 47,771,010.02
  5. Step 5: Solve for x
    x = 47,771,010.02/8,292.11
  6. Step 6: Final answer
    x = 5,761.02

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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.