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Finding the Fourth Proportional to 8,984.26, 13,478.31 and 6,793.86

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Solution

The fourth proportional to 8,984.26, 13,478.31 and 6,793.86 is: 10,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.26 : 13,478.31 = 6,793.86 : x
  2. Step 2: Convert to fraction form
    8,984.26/13,478.31 = 6,793.86/x
  3. Step 3: Cross multiply
    8,984.26x = 13,478.31 × 6,793.86
  4. Step 4: Simplify right side
    8,984.26x = 91,569,751.18
  5. Step 5: Solve for x
    x = 91,569,751.18/8,984.26
  6. Step 6: Final answer
    x = 10,192.24

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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.