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Finding the Fourth Proportional to 8,107.96, 12,161.94 and 2,264.72

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Solution

The fourth proportional to 8,107.96, 12,161.94 and 2,264.72 is: 3,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.96 : 12,161.94 = 2,264.72 : x
  2. Step 2: Convert to fraction form
    8,107.96/12,161.94 = 2,264.72/x
  3. Step 3: Cross multiply
    8,107.96x = 12,161.94 × 2,264.72
  4. Step 4: Simplify right side
    8,107.96x = 27,543,388.76
  5. Step 5: Solve for x
    x = 27,543,388.76/8,107.96
  6. Step 6: Final answer
    x = 3,397.08

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Similar ratio
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1.5x scale

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.