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Finding the Fourth Proportional to 8,205.77, 11,323.91 and 4,479.77

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Solution

The fourth proportional to 8,205.77, 11,323.91 and 4,479.77 is: 6,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.77 : 11,323.91 = 4,479.77 : x
  2. Step 2: Convert to fraction form
    8,205.77/11,323.91 = 4,479.77/x
  3. Step 3: Cross multiply
    8,205.77x = 11,323.91 × 4,479.77
  4. Step 4: Simplify right side
    8,205.77x = 50,728,489.90
  5. Step 5: Solve for x
    x = 50,728,489.90/8,205.77
  6. Step 6: Final answer
    x = 6,182.05

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Similar ratio
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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.