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Finding the Fourth Proportional to 11,812.34, 17,707.62 and 4,015.73

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Solution

The fourth proportional to 11,812.34, 17,707.62 and 4,015.73 is: 6,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.34 : 17,707.62 = 4,015.73 : x
  2. Step 2: Convert to fraction form
    11,812.34/17,707.62 = 4,015.73/x
  3. Step 3: Cross multiply
    11,812.34x = 17,707.62 × 4,015.73
  4. Step 4: Simplify right side
    11,812.34x = 71,109,020.86
  5. Step 5: Solve for x
    x = 71,109,020.86/11,812.34
  6. Step 6: Final answer
    x = 6,019.89

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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.