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Finding the Fourth Proportional to 11,034.80, 16,546.20 and 5,475.92

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Solution

The fourth proportional to 11,034.80, 16,546.20 and 5,475.92 is: 8,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034.80 : 16,546.20 = 5,475.92 : x
  2. Step 2: Convert to fraction form
    11,034.80/16,546.20 = 5,475.92/x
  3. Step 3: Cross multiply
    11,034.80x = 16,546.20 × 5,475.92
  4. Step 4: Simplify right side
    11,034.80x = 90,605,667.50
  5. Step 5: Solve for x
    x = 90,605,667.50/11,034.80
  6. Step 6: Final answer
    x = 8,210.90

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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.