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Finding the Fourth Proportional to 8,489.79, 12,720.86 and 5,195.97

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Solution

The fourth proportional to 8,489.79, 12,720.86 and 5,195.97 is: 7,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.79 : 12,720.86 = 5,195.97 : x
  2. Step 2: Convert to fraction form
    8,489.79/12,720.86 = 5,195.97/x
  3. Step 3: Cross multiply
    8,489.79x = 12,720.86 × 5,195.97
  4. Step 4: Simplify right side
    8,489.79x = 66,097,180.95
  5. Step 5: Solve for x
    x = 66,097,180.95/8,489.79
  6. Step 6: Final answer
    x = 7,785.49

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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.