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Finding the Fourth Proportional to 11,820.62, 17,718.17 and 5,237.75

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Solution

The fourth proportional to 11,820.62, 17,718.17 and 5,237.75 is: 7,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.62 : 17,718.17 = 5,237.75 : x
  2. Step 2: Convert to fraction form
    11,820.62/17,718.17 = 5,237.75/x
  3. Step 3: Cross multiply
    11,820.62x = 17,718.17 × 5,237.75
  4. Step 4: Simplify right side
    11,820.62x = 92,803,230.14
  5. Step 5: Solve for x
    x = 92,803,230.14/11,820.62
  6. Step 6: Final answer
    x = 7,850.96

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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.