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Finding the Fourth Proportional to 11,760.48, 17,632.32 and 5,517

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Solution

The fourth proportional to 11,760.48, 17,632.32 and 5,517 is: 8,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.48 : 17,632.32 = 5,517 : x
  2. Step 2: Convert to fraction form
    11,760.48/17,632.32 = 5,517/x
  3. Step 3: Cross multiply
    11,760.48x = 17,632.32 × 5,517
  4. Step 4: Simplify right side
    11,760.48x = 97,277,509.44
  5. Step 5: Solve for x
    x = 97,277,509.44/11,760.48
  6. Step 6: Final answer
    x = 8,271.56

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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.