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Finding the Fourth Proportional to 11,600.54, 17,401.76 and 3,280.63

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Solution

The fourth proportional to 11,600.54, 17,401.76 and 3,280.63 is: 4,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.54 : 17,401.76 = 3,280.63 : x
  2. Step 2: Convert to fraction form
    11,600.54/17,401.76 = 3,280.63/x
  3. Step 3: Cross multiply
    11,600.54x = 17,401.76 × 3,280.63
  4. Step 4: Simplify right side
    11,600.54x = 57,088,735.91
  5. Step 5: Solve for x
    x = 57,088,735.91/11,600.54
  6. Step 6: Final answer
    x = 4,921.21

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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.