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Finding the Fourth Proportional to 8,342.92, 12,514.38 and 3,411.70

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Solution

The fourth proportional to 8,342.92, 12,514.38 and 3,411.70 is: 5,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.92 : 12,514.38 = 3,411.70 : x
  2. Step 2: Convert to fraction form
    8,342.92/12,514.38 = 3,411.70/x
  3. Step 3: Cross multiply
    8,342.92x = 12,514.38 × 3,411.70
  4. Step 4: Simplify right side
    8,342.92x = 42,695,310.25
  5. Step 5: Solve for x
    x = 42,695,310.25/8,342.92
  6. Step 6: Final answer
    x = 5,117.55

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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.