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Finding the Fourth Proportional to 11,766.12, 17,639.92 and 8,057.12

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Solution

The fourth proportional to 11,766.12, 17,639.92 and 8,057.12 is: 12,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.12 : 17,639.92 = 8,057.12 : x
  2. Step 2: Convert to fraction form
    11,766.12/17,639.92 = 8,057.12/x
  3. Step 3: Cross multiply
    11,766.12x = 17,639.92 × 8,057.12
  4. Step 4: Simplify right side
    11,766.12x = 142,126,952.23
  5. Step 5: Solve for x
    x = 142,126,952.23/11,766.12
  6. Step 6: Final answer
    x = 12,079.34

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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.