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Finding the Fourth Proportional to 11,076.50, 16,593.43 and 8,724.06

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Solution

The fourth proportional to 11,076.50, 16,593.43 and 8,724.06 is: 13,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.50 : 16,593.43 = 8,724.06 : x
  2. Step 2: Convert to fraction form
    11,076.50/16,593.43 = 8,724.06/x
  3. Step 3: Cross multiply
    11,076.50x = 16,593.43 × 8,724.06
  4. Step 4: Simplify right side
    11,076.50x = 144,762,078.93
  5. Step 5: Solve for x
    x = 144,762,078.93/11,076.50
  6. Step 6: Final answer
    x = 13,069.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.