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Finding the Fourth Proportional to 11,059.47, 15,250.39 and 8,222.30

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Solution

The fourth proportional to 11,059.47, 15,250.39 and 8,222.30 is: 11,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.47 : 15,250.39 = 8,222.30 : x
  2. Step 2: Convert to fraction form
    11,059.47/15,250.39 = 8,222.30/x
  3. Step 3: Cross multiply
    11,059.47x = 15,250.39 × 8,222.30
  4. Step 4: Simplify right side
    11,059.47x = 125,393,281.70
  5. Step 5: Solve for x
    x = 125,393,281.70/11,059.47
  6. Step 6: Final answer
    x = 11,338.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.