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Finding the Fourth Proportional to 28,446.38, 42,669.57 and 7,669.88

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Solution

The fourth proportional to 28,446.38, 42,669.57 and 7,669.88 is: 11,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,446.38 : 42,669.57 = 7,669.88 : x
  2. Step 2: Convert to fraction form
    28,446.38/42,669.57 = 7,669.88/x
  3. Step 3: Cross multiply
    28,446.38x = 42,669.57 × 7,669.88
  4. Step 4: Simplify right side
    28,446.38x = 327,270,481.55
  5. Step 5: Solve for x
    x = 327,270,481.55/28,446.38
  6. Step 6: Final answer
    x = 11,504.82

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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.