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Finding the Fourth Proportional to 10,958.63, 15,122.90 and 6,766.88

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Solution

The fourth proportional to 10,958.63, 15,122.90 and 6,766.88 is: 9,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.63 : 15,122.90 = 6,766.88 : x
  2. Step 2: Convert to fraction form
    10,958.63/15,122.90 = 6,766.88/x
  3. Step 3: Cross multiply
    10,958.63x = 15,122.90 × 6,766.88
  4. Step 4: Simplify right side
    10,958.63x = 102,334,790.85
  5. Step 5: Solve for x
    x = 102,334,790.85/10,958.63
  6. Step 6: Final answer
    x = 9,338.29

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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.