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Finding the Fourth Proportional to 8,861.60, 12,229.02 and 4,882.80

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Solution

The fourth proportional to 8,861.60, 12,229.02 and 4,882.80 is: 6,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,861.60 : 12,229.02 = 4,882.80 : x
  2. Step 2: Convert to fraction form
    8,861.60/12,229.02 = 4,882.80/x
  3. Step 3: Cross multiply
    8,861.60x = 12,229.02 × 4,882.80
  4. Step 4: Simplify right side
    8,861.60x = 59,711,904.71
  5. Step 5: Solve for x
    x = 59,711,904.71/8,861.60
  6. Step 6: Final answer
    x = 6,738.27

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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.