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Finding the Fourth Proportional to 28,493.72, 42,724.92 and 8,766.80

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Solution

The fourth proportional to 28,493.72, 42,724.92 and 8,766.80 is: 13,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,493.72 : 42,724.92 = 8,766.80 : x
  2. Step 2: Convert to fraction form
    28,493.72/42,724.92 = 8,766.80/x
  3. Step 3: Cross multiply
    28,493.72x = 42,724.92 × 8,766.80
  4. Step 4: Simplify right side
    28,493.72x = 374,560,828.66
  5. Step 5: Solve for x
    x = 374,560,828.66/28,493.72
  6. Step 6: Final answer
    x = 13,145.38

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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.