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Finding the Fourth Proportional to 11,757.34, 17,610.09 and 7,130.62

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Solution

The fourth proportional to 11,757.34, 17,610.09 and 7,130.62 is: 10,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.34 : 17,610.09 = 7,130.62 : x
  2. Step 2: Convert to fraction form
    11,757.34/17,610.09 = 7,130.62/x
  3. Step 3: Cross multiply
    11,757.34x = 17,610.09 × 7,130.62
  4. Step 4: Simplify right side
    11,757.34x = 125,570,859.96
  5. Step 5: Solve for x
    x = 125,570,859.96/11,757.34
  6. Step 6: Final answer
    x = 10,680.21

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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.