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Finding the Fourth Proportional to 11,882.40, 17,820.74 and 3,985.20

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Solution

The fourth proportional to 11,882.40, 17,820.74 and 3,985.20 is: 5,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.40 : 17,820.74 = 3,985.20 : x
  2. Step 2: Convert to fraction form
    11,882.40/17,820.74 = 3,985.20/x
  3. Step 3: Cross multiply
    11,882.40x = 17,820.74 × 3,985.20
  4. Step 4: Simplify right side
    11,882.40x = 71,019,223.01
  5. Step 5: Solve for x
    x = 71,019,223.01/11,882.40
  6. Step 6: Final answer
    x = 5,976.84

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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.