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Finding the Fourth Proportional to 8,543.96, 11,786.16 and 5,886.80

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Solution

The fourth proportional to 8,543.96, 11,786.16 and 5,886.80 is: 8,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.96 : 11,786.16 = 5,886.80 : x
  2. Step 2: Convert to fraction form
    8,543.96/11,786.16 = 5,886.80/x
  3. Step 3: Cross multiply
    8,543.96x = 11,786.16 × 5,886.80
  4. Step 4: Simplify right side
    8,543.96x = 69,382,766.69
  5. Step 5: Solve for x
    x = 69,382,766.69/8,543.96
  6. Step 6: Final answer
    x = 8,120.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.