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Finding the Fourth Proportional to 8,176.82, 12,265.38 and 2,333.57

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Solution

The fourth proportional to 8,176.82, 12,265.38 and 2,333.57 is: 3,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.82 : 12,265.38 = 2,333.57 : x
  2. Step 2: Convert to fraction form
    8,176.82/12,265.38 = 2,333.57/x
  3. Step 3: Cross multiply
    8,176.82x = 12,265.38 × 2,333.57
  4. Step 4: Simplify right side
    8,176.82x = 28,622,061.48
  5. Step 5: Solve for x
    x = 28,622,061.48/8,176.82
  6. Step 6: Final answer
    x = 3,500.39

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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.