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Finding the Fourth Proportional to 27,211.20, 40,812 and 7,484.96

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Solution

The fourth proportional to 27,211.20, 40,812 and 7,484.96 is: 11,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,211.20 : 40,812 = 7,484.96 : x
  2. Step 2: Convert to fraction form
    27,211.20/40,812 = 7,484.96/x
  3. Step 3: Cross multiply
    27,211.20x = 40,812 × 7,484.96
  4. Step 4: Simplify right side
    27,211.20x = 305,476,187.52
  5. Step 5: Solve for x
    x = 305,476,187.52/27,211.20
  6. Step 6: Final answer
    x = 11,226.12

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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.