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Finding the Fourth Proportional to 11,738.25, 17,614.17 and 4,347.90

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Solution

The fourth proportional to 11,738.25, 17,614.17 and 4,347.90 is: 6,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.25 : 17,614.17 = 4,347.90 : x
  2. Step 2: Convert to fraction form
    11,738.25/17,614.17 = 4,347.90/x
  3. Step 3: Cross multiply
    11,738.25x = 17,614.17 × 4,347.90
  4. Step 4: Simplify right side
    11,738.25x = 76,584,649.74
  5. Step 5: Solve for x
    x = 76,584,649.74/11,738.25
  6. Step 6: Final answer
    x = 6,524.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.