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Finding the Fourth Proportional to 8,176.57, 12,264.97 and 2,333.18

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Solution

The fourth proportional to 8,176.57, 12,264.97 and 2,333.18 is: 3,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.57 : 12,264.97 = 2,333.18 : x
  2. Step 2: Convert to fraction form
    8,176.57/12,264.97 = 2,333.18/x
  3. Step 3: Cross multiply
    8,176.57x = 12,264.97 × 2,333.18
  4. Step 4: Simplify right side
    8,176.57x = 28,616,377.41
  5. Step 5: Solve for x
    x = 28,616,377.41/8,176.57
  6. Step 6: Final answer
    x = 3,499.80

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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.