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Finding the Fourth Proportional to 11,059.56, 16,579.80 and 5,212.08

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Solution

The fourth proportional to 11,059.56, 16,579.80 and 5,212.08 is: 7,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.56 : 16,579.80 = 5,212.08 : x
  2. Step 2: Convert to fraction form
    11,059.56/16,579.80 = 5,212.08/x
  3. Step 3: Cross multiply
    11,059.56x = 16,579.80 × 5,212.08
  4. Step 4: Simplify right side
    11,059.56x = 86,415,243.98
  5. Step 5: Solve for x
    x = 86,415,243.98/11,059.56
  6. Step 6: Final answer
    x = 7,813.62

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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.