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Finding the Fourth Proportional to 8,309.92, 12,467.52 and 2,466.64

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Solution

The fourth proportional to 8,309.92, 12,467.52 and 2,466.64 is: 3,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.92 : 12,467.52 = 2,466.64 : x
  2. Step 2: Convert to fraction form
    8,309.92/12,467.52 = 2,466.64/x
  3. Step 3: Cross multiply
    8,309.92x = 12,467.52 × 2,466.64
  4. Step 4: Simplify right side
    8,309.92x = 30,752,883.53
  5. Step 5: Solve for x
    x = 30,752,883.53/8,309.92
  6. Step 6: Final answer
    x = 3,700.74

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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.