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Finding the Fourth Proportional to 8,176.78, 12,267.21 and 2,333.44

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Solution

The fourth proportional to 8,176.78, 12,267.21 and 2,333.44 is: 3,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.78 : 12,267.21 = 2,333.44 : x
  2. Step 2: Convert to fraction form
    8,176.78/12,267.21 = 2,333.44/x
  3. Step 3: Cross multiply
    8,176.78x = 12,267.21 × 2,333.44
  4. Step 4: Simplify right side
    8,176.78x = 28,624,798.50
  5. Step 5: Solve for x
    x = 28,624,798.50/8,176.78
  6. Step 6: Final answer
    x = 3,500.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.