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Finding the Fourth Proportional to 11,830.65, 17,744.75 and 3,396.86

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Solution

The fourth proportional to 11,830.65, 17,744.75 and 3,396.86 is: 5,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.65 : 17,744.75 = 3,396.86 : x
  2. Step 2: Convert to fraction form
    11,830.65/17,744.75 = 3,396.86/x
  3. Step 3: Cross multiply
    11,830.65x = 17,744.75 × 3,396.86
  4. Step 4: Simplify right side
    11,830.65x = 60,276,431.49
  5. Step 5: Solve for x
    x = 60,276,431.49/11,830.65
  6. Step 6: Final answer
    x = 5,094.94

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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.