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Finding the Fourth Proportional to 8,256, 12,385.12 and 2,411.84

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Solution

The fourth proportional to 8,256, 12,385.12 and 2,411.84 is: 3,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256 : 12,385.12 = 2,411.84 : x
  2. Step 2: Convert to fraction form
    8,256/12,385.12 = 2,411.84/x
  3. Step 3: Cross multiply
    8,256x = 12,385.12 × 2,411.84
  4. Step 4: Simplify right side
    8,256x = 29,870,927.82
  5. Step 5: Solve for x
    x = 29,870,927.82/8,256
  6. Step 6: Final answer
    x = 3,618.09

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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.