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Finding the Fourth Proportional to 7,309, 10,086.42 and 3,997

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Solution

The fourth proportional to 7,309, 10,086.42 and 3,997 is: 5,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309 : 10,086.42 = 3,997 : x
  2. Step 2: Convert to fraction form
    7,309/10,086.42 = 3,997/x
  3. Step 3: Cross multiply
    7,309x = 10,086.42 × 3,997
  4. Step 4: Simplify right side
    7,309x = 40,315,420.74
  5. Step 5: Solve for x
    x = 40,315,420.74/7,309
  6. Step 6: Final answer
    x = 5,515.86

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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.