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Finding the Fourth Proportional to 7,720.38, 10,649.37 and 6,728.04

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Solution

The fourth proportional to 7,720.38, 10,649.37 and 6,728.04 is: 9,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.38 : 10,649.37 = 6,728.04 : x
  2. Step 2: Convert to fraction form
    7,720.38/10,649.37 = 6,728.04/x
  3. Step 3: Cross multiply
    7,720.38x = 10,649.37 × 6,728.04
  4. Step 4: Simplify right side
    7,720.38x = 71,649,387.33
  5. Step 5: Solve for x
    x = 71,649,387.33/7,720.38
  6. Step 6: Final answer
    x = 9,280.55

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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.