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Finding the Fourth Proportional to 10,720.26, 14,793.99 and 6,004.62

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Solution

The fourth proportional to 10,720.26, 14,793.99 and 6,004.62 is: 8,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.26 : 14,793.99 = 6,004.62 : x
  2. Step 2: Convert to fraction form
    10,720.26/14,793.99 = 6,004.62/x
  3. Step 3: Cross multiply
    10,720.26x = 14,793.99 × 6,004.62
  4. Step 4: Simplify right side
    10,720.26x = 88,832,288.23
  5. Step 5: Solve for x
    x = 88,832,288.23/10,720.26
  6. Step 6: Final answer
    x = 8,286.39

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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.