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Finding the Fourth Proportional to 11,615.67, 17,406.50 and 5,760.59

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Solution

The fourth proportional to 11,615.67, 17,406.50 and 5,760.59 is: 8,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.67 : 17,406.50 = 5,760.59 : x
  2. Step 2: Convert to fraction form
    11,615.67/17,406.50 = 5,760.59/x
  3. Step 3: Cross multiply
    11,615.67x = 17,406.50 × 5,760.59
  4. Step 4: Simplify right side
    11,615.67x = 100,271,594.00
  5. Step 5: Solve for x
    x = 100,271,594.00/11,615.67
  6. Step 6: Final answer
    x = 8,632.44

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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.